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Finding the Fourth Proportional to 1,660.98, 2,502.56 and 1,502.86

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Solution

The fourth proportional to 1,660.98, 2,502.56 and 1,502.86 is: 2,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.98 : 2,502.56 = 1,502.86 : x
  2. Step 2: Convert to fraction form
    1,660.98/2,502.56 = 1,502.86/x
  3. Step 3: Cross multiply
    1,660.98x = 2,502.56 × 1,502.86
  4. Step 4: Simplify right side
    1,660.98x = 3,760,997.32
  5. Step 5: Solve for x
    x = 3,760,997.32/1,660.98
  6. Step 6: Final answer
    x = 2,264.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.