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Finding the Fourth Proportional to 1,539.64, 2,309.45 and 385.39

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Solution

The fourth proportional to 1,539.64, 2,309.45 and 385.39 is: 578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.64 : 2,309.45 = 385.39 : x
  2. Step 2: Convert to fraction form
    1,539.64/2,309.45 = 385.39/x
  3. Step 3: Cross multiply
    1,539.64x = 2,309.45 × 385.39
  4. Step 4: Simplify right side
    1,539.64x = 890,037.01
  5. Step 5: Solve for x
    x = 890,037.01/1,539.64
  6. Step 6: Final answer
    x = 578.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.