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Finding the Fourth Proportional to 1,539.20, 2,308.78 and 384.95

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Solution

The fourth proportional to 1,539.20, 2,308.78 and 384.95 is: 577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.20 : 2,308.78 = 384.95 : x
  2. Step 2: Convert to fraction form
    1,539.20/2,308.78 = 384.95/x
  3. Step 3: Cross multiply
    1,539.20x = 2,308.78 × 384.95
  4. Step 4: Simplify right side
    1,539.20x = 888,752.35
  5. Step 5: Solve for x
    x = 888,752.35/1,539.20
  6. Step 6: Final answer
    x = 577.41

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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.