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Finding the Fourth Proportional to 1,142.42, 1,572.12 and 1,110.30

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Solution

The fourth proportional to 1,142.42, 1,572.12 and 1,110.30 is: 1,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.42 : 1,572.12 = 1,110.30 : x
  2. Step 2: Convert to fraction form
    1,142.42/1,572.12 = 1,110.30/x
  3. Step 3: Cross multiply
    1,142.42x = 1,572.12 × 1,110.30
  4. Step 4: Simplify right side
    1,142.42x = 1,745,524.84
  5. Step 5: Solve for x
    x = 1,745,524.84/1,142.42
  6. Step 6: Final answer
    x = 1,527.92

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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.