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Finding the Fourth Proportional to 2,296.57, 3,444.33 and 652.71

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Solution

The fourth proportional to 2,296.57, 3,444.33 and 652.71 is: 978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.57 : 3,444.33 = 652.71 : x
  2. Step 2: Convert to fraction form
    2,296.57/3,444.33 = 652.71/x
  3. Step 3: Cross multiply
    2,296.57x = 3,444.33 × 652.71
  4. Step 4: Simplify right side
    2,296.57x = 2,248,151.08
  5. Step 5: Solve for x
    x = 2,248,151.08/2,296.57
  6. Step 6: Final answer
    x = 978.92

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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.