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Finding the Fourth Proportional to 1,484.47, 2,224.15 and 983.83

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Solution

The fourth proportional to 1,484.47, 2,224.15 and 983.83 is: 1,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.47 : 2,224.15 = 983.83 : x
  2. Step 2: Convert to fraction form
    1,484.47/2,224.15 = 983.83/x
  3. Step 3: Cross multiply
    1,484.47x = 2,224.15 × 983.83
  4. Step 4: Simplify right side
    1,484.47x = 2,188,180.58
  5. Step 5: Solve for x
    x = 2,188,180.58/1,484.47
  6. Step 6: Final answer
    x = 1,474.05

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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.