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Finding the Fourth Proportional to 1,985.47, 2,978.28 and 752.97

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Solution

The fourth proportional to 1,985.47, 2,978.28 and 752.97 is: 1,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.47 : 2,978.28 = 752.97 : x
  2. Step 2: Convert to fraction form
    1,985.47/2,978.28 = 752.97/x
  3. Step 3: Cross multiply
    1,985.47x = 2,978.28 × 752.97
  4. Step 4: Simplify right side
    1,985.47x = 2,242,555.49
  5. Step 5: Solve for x
    x = 2,242,555.49/1,985.47
  6. Step 6: Final answer
    x = 1,129.48

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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.