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Finding the Fourth Proportional to 1,456.92, 2,008.62 and 1,176.84

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Solution

The fourth proportional to 1,456.92, 2,008.62 and 1,176.84 is: 1,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.92 : 2,008.62 = 1,176.84 : x
  2. Step 2: Convert to fraction form
    1,456.92/2,008.62 = 1,176.84/x
  3. Step 3: Cross multiply
    1,456.92x = 2,008.62 × 1,176.84
  4. Step 4: Simplify right side
    1,456.92x = 2,363,824.36
  5. Step 5: Solve for x
    x = 2,363,824.36/1,456.92
  6. Step 6: Final answer
    x = 1,622.48

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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.