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Finding the Fourth Proportional to 2,069.40, 2,905.80 and 2,069.40

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Solution

The fourth proportional to 2,069.40, 2,905.80 and 2,069.40 is: 2,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.40 : 2,905.80 = 2,069.40 : x
  2. Step 2: Convert to fraction form
    2,069.40/2,905.80 = 2,069.40/x
  3. Step 3: Cross multiply
    2,069.40x = 2,905.80 × 2,069.40
  4. Step 4: Simplify right side
    2,069.40x = 6,013,262.52
  5. Step 5: Solve for x
    x = 6,013,262.52/2,069.40
  6. Step 6: Final answer
    x = 2,905.80

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1.5x scale

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.