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Finding the Fourth Proportional to 1,600.65, 2,398.37 and 1,539.90

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Solution

The fourth proportional to 1,600.65, 2,398.37 and 1,539.90 is: 2,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.65 : 2,398.37 = 1,539.90 : x
  2. Step 2: Convert to fraction form
    1,600.65/2,398.37 = 1,539.90/x
  3. Step 3: Cross multiply
    1,600.65x = 2,398.37 × 1,539.90
  4. Step 4: Simplify right side
    1,600.65x = 3,693,242.26
  5. Step 5: Solve for x
    x = 3,693,242.26/1,600.65
  6. Step 6: Final answer
    x = 2,307.34

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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.