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Finding the Fourth Proportional to 1,539.90, 2,309.87 and 385.65

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Solution

The fourth proportional to 1,539.90, 2,309.87 and 385.65 is: 578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.90 : 2,309.87 = 385.65 : x
  2. Step 2: Convert to fraction form
    1,539.90/2,309.87 = 385.65/x
  3. Step 3: Cross multiply
    1,539.90x = 2,309.87 × 385.65
  4. Step 4: Simplify right side
    1,539.90x = 890,801.37
  5. Step 5: Solve for x
    x = 890,801.37/1,539.90
  6. Step 6: Final answer
    x = 578.48

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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.