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Finding the Fourth Proportional to 2,332.01, 3,497.41 and 944.94

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Solution

The fourth proportional to 2,332.01, 3,497.41 and 944.94 is: 1,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.01 : 3,497.41 = 944.94 : x
  2. Step 2: Convert to fraction form
    2,332.01/3,497.41 = 944.94/x
  3. Step 3: Cross multiply
    2,332.01x = 3,497.41 × 944.94
  4. Step 4: Simplify right side
    2,332.01x = 3,304,842.61
  5. Step 5: Solve for x
    x = 3,304,842.61/2,332.01
  6. Step 6: Final answer
    x = 1,417.16

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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.