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Finding the Fourth Proportional to 1,566.72, 2,162.88 and 1,103.04

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Solution

The fourth proportional to 1,566.72, 2,162.88 and 1,103.04 is: 1,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.72 : 2,162.88 = 1,103.04 : x
  2. Step 2: Convert to fraction form
    1,566.72/2,162.88 = 1,103.04/x
  3. Step 3: Cross multiply
    1,566.72x = 2,162.88 × 1,103.04
  4. Step 4: Simplify right side
    1,566.72x = 2,385,743.16
  5. Step 5: Solve for x
    x = 2,385,743.16/1,566.72
  6. Step 6: Final answer
    x = 1,522.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.