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Finding the Fourth Proportional to 1,484.92, 2,049.17 and 821.76

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Solution

The fourth proportional to 1,484.92, 2,049.17 and 821.76 is: 1,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.92 : 2,049.17 = 821.76 : x
  2. Step 2: Convert to fraction form
    1,484.92/2,049.17 = 821.76/x
  3. Step 3: Cross multiply
    1,484.92x = 2,049.17 × 821.76
  4. Step 4: Simplify right side
    1,484.92x = 1,683,926.95
  5. Step 5: Solve for x
    x = 1,683,926.95/1,484.92
  6. Step 6: Final answer
    x = 1,134.02

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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.