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Finding the Fourth Proportional to 3,005.24, 4,508.53 and 925.43

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Solution

The fourth proportional to 3,005.24, 4,508.53 and 925.43 is: 1,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.24 : 4,508.53 = 925.43 : x
  2. Step 2: Convert to fraction form
    3,005.24/4,508.53 = 925.43/x
  3. Step 3: Cross multiply
    3,005.24x = 4,508.53 × 925.43
  4. Step 4: Simplify right side
    3,005.24x = 4,172,328.92
  5. Step 5: Solve for x
    x = 4,172,328.92/3,005.24
  6. Step 6: Final answer
    x = 1,388.35

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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.