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Finding the Fourth Proportional to 2,484.72, 3,726.12 and 840.96

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Solution

The fourth proportional to 2,484.72, 3,726.12 and 840.96 is: 1,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.72 : 3,726.12 = 840.96 : x
  2. Step 2: Convert to fraction form
    2,484.72/3,726.12 = 840.96/x
  3. Step 3: Cross multiply
    2,484.72x = 3,726.12 × 840.96
  4. Step 4: Simplify right side
    2,484.72x = 3,133,517.88
  5. Step 5: Solve for x
    x = 3,133,517.88/2,484.72
  6. Step 6: Final answer
    x = 1,261.12

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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.