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Finding the Fourth Proportional to 2,952.72, 4,429.72 and 1,472.74

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Solution

The fourth proportional to 2,952.72, 4,429.72 and 1,472.74 is: 2,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.72 : 4,429.72 = 1,472.74 : x
  2. Step 2: Convert to fraction form
    2,952.72/4,429.72 = 1,472.74/x
  3. Step 3: Cross multiply
    2,952.72x = 4,429.72 × 1,472.74
  4. Step 4: Simplify right side
    2,952.72x = 6,523,808.32
  5. Step 5: Solve for x
    x = 6,523,808.32/2,952.72
  6. Step 6: Final answer
    x = 2,209.42

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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.