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Finding the Fourth Proportional to 1,502.82, 2,073.99 and 997.88

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Solution

The fourth proportional to 1,502.82, 2,073.99 and 997.88 is: 1,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.82 : 2,073.99 = 997.88 : x
  2. Step 2: Convert to fraction form
    1,502.82/2,073.99 = 997.88/x
  3. Step 3: Cross multiply
    1,502.82x = 2,073.99 × 997.88
  4. Step 4: Simplify right side
    1,502.82x = 2,069,603.37
  5. Step 5: Solve for x
    x = 2,069,603.37/1,502.82
  6. Step 6: Final answer
    x = 1,377.15

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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.