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Finding the Fourth Proportional to 1,886.28, 2,829.22 and 1,154.58

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Solution

The fourth proportional to 1,886.28, 2,829.22 and 1,154.58 is: 1,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.28 : 2,829.22 = 1,154.58 : x
  2. Step 2: Convert to fraction form
    1,886.28/2,829.22 = 1,154.58/x
  3. Step 3: Cross multiply
    1,886.28x = 2,829.22 × 1,154.58
  4. Step 4: Simplify right side
    1,886.28x = 3,266,560.83
  5. Step 5: Solve for x
    x = 3,266,560.83/1,886.28
  6. Step 6: Final answer
    x = 1,731.75

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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.