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Finding the Fourth Proportional to 1,539.12, 2,308.69 and 384.87

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Solution

The fourth proportional to 1,539.12, 2,308.69 and 384.87 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.12 : 2,308.69 = 384.87 : x
  2. Step 2: Convert to fraction form
    1,539.12/2,308.69 = 384.87/x
  3. Step 3: Cross multiply
    1,539.12x = 2,308.69 × 384.87
  4. Step 4: Simplify right side
    1,539.12x = 888,535.90
  5. Step 5: Solve for x
    x = 888,535.90/1,539.12
  6. Step 6: Final answer
    x = 577.30

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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.