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Finding the Fourth Proportional to 1,826, 2,524.68 and 1,744.40

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Solution

The fourth proportional to 1,826, 2,524.68 and 1,744.40 is: 2,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826 : 2,524.68 = 1,744.40 : x
  2. Step 2: Convert to fraction form
    1,826/2,524.68 = 1,744.40/x
  3. Step 3: Cross multiply
    1,826x = 2,524.68 × 1,744.40
  4. Step 4: Simplify right side
    1,826x = 4,404,051.79
  5. Step 5: Solve for x
    x = 4,404,051.79/1,826
  6. Step 6: Final answer
    x = 2,411.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.