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Finding the Fourth Proportional to 2,681.91, 3,701.13 and 1,502.97

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Solution

The fourth proportional to 2,681.91, 3,701.13 and 1,502.97 is: 2,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.91 : 3,701.13 = 1,502.97 : x
  2. Step 2: Convert to fraction form
    2,681.91/3,701.13 = 1,502.97/x
  3. Step 3: Cross multiply
    2,681.91x = 3,701.13 × 1,502.97
  4. Step 4: Simplify right side
    2,681.91x = 5,562,687.36
  5. Step 5: Solve for x
    x = 5,562,687.36/2,681.91
  6. Step 6: Final answer
    x = 2,074.15

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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.