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Finding the Fourth Proportional to 2,484.55, 3,727.23 and 841.24

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Solution

The fourth proportional to 2,484.55, 3,727.23 and 841.24 is: 1,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.55 : 3,727.23 = 841.24 : x
  2. Step 2: Convert to fraction form
    2,484.55/3,727.23 = 841.24/x
  3. Step 3: Cross multiply
    2,484.55x = 3,727.23 × 841.24
  4. Step 4: Simplify right side
    2,484.55x = 3,135,494.97
  5. Step 5: Solve for x
    x = 3,135,494.97/2,484.55
  6. Step 6: Final answer
    x = 1,262.00

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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.