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Finding the Fourth Proportional to 1,718.86, 2,372.01 and 932.91

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Solution

The fourth proportional to 1,718.86, 2,372.01 and 932.91 is: 1,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.86 : 2,372.01 = 932.91 : x
  2. Step 2: Convert to fraction form
    1,718.86/2,372.01 = 932.91/x
  3. Step 3: Cross multiply
    1,718.86x = 2,372.01 × 932.91
  4. Step 4: Simplify right side
    1,718.86x = 2,212,871.77
  5. Step 5: Solve for x
    x = 2,212,871.77/1,718.86
  6. Step 6: Final answer
    x = 1,287.41

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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.