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Finding the Fourth Proportional to 1,214.96, 1,673.88 and 1,132.88

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Solution

The fourth proportional to 1,214.96, 1,673.88 and 1,132.88 is: 1,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.96 : 1,673.88 = 1,132.88 : x
  2. Step 2: Convert to fraction form
    1,214.96/1,673.88 = 1,132.88/x
  3. Step 3: Cross multiply
    1,214.96x = 1,673.88 × 1,132.88
  4. Step 4: Simplify right side
    1,214.96x = 1,896,305.17
  5. Step 5: Solve for x
    x = 1,896,305.17/1,214.96
  6. Step 6: Final answer
    x = 1,560.80

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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.