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Finding the Fourth Proportional to 2,332.63, 3,498.94 and 601.25

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Solution

The fourth proportional to 2,332.63, 3,498.94 and 601.25 is: 901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.63 : 3,498.94 = 601.25 : x
  2. Step 2: Convert to fraction form
    2,332.63/3,498.94 = 601.25/x
  3. Step 3: Cross multiply
    2,332.63x = 3,498.94 × 601.25
  4. Step 4: Simplify right side
    2,332.63x = 2,103,737.68
  5. Step 5: Solve for x
    x = 2,103,737.68/2,332.63
  6. Step 6: Final answer
    x = 901.88

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