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Finding the Fourth Proportional to 1,162.48, 1,746.12 and 1,123.60

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Solution

The fourth proportional to 1,162.48, 1,746.12 and 1,123.60 is: 1,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.48 : 1,746.12 = 1,123.60 : x
  2. Step 2: Convert to fraction form
    1,162.48/1,746.12 = 1,123.60/x
  3. Step 3: Cross multiply
    1,162.48x = 1,746.12 × 1,123.60
  4. Step 4: Simplify right side
    1,162.48x = 1,961,940.43
  5. Step 5: Solve for x
    x = 1,961,940.43/1,162.48
  6. Step 6: Final answer
    x = 1,687.72

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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.