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Finding the Fourth Proportional to 3,244.74, 4,862.54 and 1,856.00

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Solution

The fourth proportional to 3,244.74, 4,862.54 and 1,856.00 is: 2,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.74 : 4,862.54 = 1,856.00 : x
  2. Step 2: Convert to fraction form
    3,244.74/4,862.54 = 1,856.00/x
  3. Step 3: Cross multiply
    3,244.74x = 4,862.54 × 1,856.00
  4. Step 4: Simplify right side
    3,244.74x = 9,024,854.57
  5. Step 5: Solve for x
    x = 9,024,854.57/3,244.74
  6. Step 6: Final answer
    x = 2,781.38

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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.