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Finding the Fourth Proportional to 2,474.48, 3,706.56 and 1,484.15

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Solution

The fourth proportional to 2,474.48, 3,706.56 and 1,484.15 is: 2,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.48 : 3,706.56 = 1,484.15 : x
  2. Step 2: Convert to fraction form
    2,474.48/3,706.56 = 1,484.15/x
  3. Step 3: Cross multiply
    2,474.48x = 3,706.56 × 1,484.15
  4. Step 4: Simplify right side
    2,474.48x = 5,501,099.24
  5. Step 5: Solve for x
    x = 5,501,099.24/2,474.48
  6. Step 6: Final answer
    x = 2,223.13

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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.