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Finding the Fourth Proportional to 1,718.90, 2,372.01 and 972.71

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Solution

The fourth proportional to 1,718.90, 2,372.01 and 972.71 is: 1,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.90 : 2,372.01 = 972.71 : x
  2. Step 2: Convert to fraction form
    1,718.90/2,372.01 = 972.71/x
  3. Step 3: Cross multiply
    1,718.90x = 2,372.01 × 972.71
  4. Step 4: Simplify right side
    1,718.90x = 2,307,265.99
  5. Step 5: Solve for x
    x = 2,307,265.99/1,718.90
  6. Step 6: Final answer
    x = 1,342.30

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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.