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Finding the Fourth Proportional to 2,484.37, 3,726.32 and 840.73

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Solution

The fourth proportional to 2,484.37, 3,726.32 and 840.73 is: 1,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.37 : 3,726.32 = 840.73 : x
  2. Step 2: Convert to fraction form
    2,484.37/3,726.32 = 840.73/x
  3. Step 3: Cross multiply
    2,484.37x = 3,726.32 × 840.73
  4. Step 4: Simplify right side
    2,484.37x = 3,132,818.19
  5. Step 5: Solve for x
    x = 3,132,818.19/2,484.37
  6. Step 6: Final answer
    x = 1,261.01

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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.