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Finding the Fourth Proportional to 1,251.95, 1,878.04 and 327.52

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Solution

The fourth proportional to 1,251.95, 1,878.04 and 327.52 is: 491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.95 : 1,878.04 = 327.52 : x
  2. Step 2: Convert to fraction form
    1,251.95/1,878.04 = 327.52/x
  3. Step 3: Cross multiply
    1,251.95x = 1,878.04 × 327.52
  4. Step 4: Simplify right side
    1,251.95x = 615,090.15
  5. Step 5: Solve for x
    x = 615,090.15/1,251.95
  6. Step 6: Final answer
    x = 491.30

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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.