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Finding the Fourth Proportional to 1,854.31, 2,782.19 and 1,124.41

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Solution

The fourth proportional to 1,854.31, 2,782.19 and 1,124.41 is: 1,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.31 : 2,782.19 = 1,124.41 : x
  2. Step 2: Convert to fraction form
    1,854.31/2,782.19 = 1,124.41/x
  3. Step 3: Cross multiply
    1,854.31x = 2,782.19 × 1,124.41
  4. Step 4: Simplify right side
    1,854.31x = 3,128,322.26
  5. Step 5: Solve for x
    x = 3,128,322.26/1,854.31
  6. Step 6: Final answer
    x = 1,687.05

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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.