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Finding the Fourth Proportional to 2,484.46, 3,725.47 and 924

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Solution

The fourth proportional to 2,484.46, 3,725.47 and 924 is: 1,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.46 : 3,725.47 = 924 : x
  2. Step 2: Convert to fraction form
    2,484.46/3,725.47 = 924/x
  3. Step 3: Cross multiply
    2,484.46x = 3,725.47 × 924
  4. Step 4: Simplify right side
    2,484.46x = 3,442,334.28
  5. Step 5: Solve for x
    x = 3,442,334.28/2,484.46
  6. Step 6: Final answer
    x = 1,385.55

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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.