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Finding the Fourth Proportional to 2,402.71, 3,604.45 and 759.26

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Solution

The fourth proportional to 2,402.71, 3,604.45 and 759.26 is: 1,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.71 : 3,604.45 = 759.26 : x
  2. Step 2: Convert to fraction form
    2,402.71/3,604.45 = 759.26/x
  3. Step 3: Cross multiply
    2,402.71x = 3,604.45 × 759.26
  4. Step 4: Simplify right side
    2,402.71x = 2,736,701.07
  5. Step 5: Solve for x
    x = 2,736,701.07/2,402.71
  6. Step 6: Final answer
    x = 1,139.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.