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Finding the Fourth Proportional to 1,909.31, 2,862.27 and 738.45

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Solution

The fourth proportional to 1,909.31, 2,862.27 and 738.45 is: 1,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.31 : 2,862.27 = 738.45 : x
  2. Step 2: Convert to fraction form
    1,909.31/2,862.27 = 738.45/x
  3. Step 3: Cross multiply
    1,909.31x = 2,862.27 × 738.45
  4. Step 4: Simplify right side
    1,909.31x = 2,113,643.28
  5. Step 5: Solve for x
    x = 2,113,643.28/1,909.31
  6. Step 6: Final answer
    x = 1,107.02

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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.