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Finding the Fourth Proportional to 1,982.07, 2,973.11 and 521.24

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Solution

The fourth proportional to 1,982.07, 2,973.11 and 521.24 is: 781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.07 : 2,973.11 = 521.24 : x
  2. Step 2: Convert to fraction form
    1,982.07/2,973.11 = 521.24/x
  3. Step 3: Cross multiply
    1,982.07x = 2,973.11 × 521.24
  4. Step 4: Simplify right side
    1,982.07x = 1,549,686.38
  5. Step 5: Solve for x
    x = 1,549,686.38/1,982.07
  6. Step 6: Final answer
    x = 781.85

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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.