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Finding the Fourth Proportional to 2,296.24, 3,444.53 and 652.92

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Solution

The fourth proportional to 2,296.24, 3,444.53 and 652.92 is: 979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.24 : 3,444.53 = 652.92 : x
  2. Step 2: Convert to fraction form
    2,296.24/3,444.53 = 652.92/x
  3. Step 3: Cross multiply
    2,296.24x = 3,444.53 × 652.92
  4. Step 4: Simplify right side
    2,296.24x = 2,249,002.53
  5. Step 5: Solve for x
    x = 2,249,002.53/2,296.24
  6. Step 6: Final answer
    x = 979.43

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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.