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Finding the Fourth Proportional to 1,600.52, 2,208.88 and 937.58

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Solution

The fourth proportional to 1,600.52, 2,208.88 and 937.58 is: 1,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.52 : 2,208.88 = 937.58 : x
  2. Step 2: Convert to fraction form
    1,600.52/2,208.88 = 937.58/x
  3. Step 3: Cross multiply
    1,600.52x = 2,208.88 × 937.58
  4. Step 4: Simplify right side
    1,600.52x = 2,071,001.71
  5. Step 5: Solve for x
    x = 2,071,001.71/1,600.52
  6. Step 6: Final answer
    x = 1,293.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.