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Finding the Fourth Proportional to 2,332.26, 3,498.18 and 870.72

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Solution

The fourth proportional to 2,332.26, 3,498.18 and 870.72 is: 1,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.26 : 3,498.18 = 870.72 : x
  2. Step 2: Convert to fraction form
    2,332.26/3,498.18 = 870.72/x
  3. Step 3: Cross multiply
    2,332.26x = 3,498.18 × 870.72
  4. Step 4: Simplify right side
    2,332.26x = 3,045,935.29
  5. Step 5: Solve for x
    x = 3,045,935.29/2,332.26
  6. Step 6: Final answer
    x = 1,306.00

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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.