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Finding the Fourth Proportional to 1,826,823.40, 2,561,751.80 and 1,826,823.40

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Solution

The fourth proportional to 1,826,823.40, 2,561,751.80 and 1,826,823.40 is: 2,561,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826,823.40 : 2,561,751.80 = 1,826,823.40 : x
  2. Step 2: Convert to fraction form
    1,826,823.40/2,561,751.80 = 1,826,823.40/x
  3. Step 3: Cross multiply
    1,826,823.40x = 2,561,751.80 × 1,826,823.40
  4. Step 4: Simplify right side
    1,826,823.40x = 4,679,868,133,232.12
  5. Step 5: Solve for x
    x = 4,679,868,133,232.12/1,826,823.40
  6. Step 6: Final answer
    x = 2,561,751.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.