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Finding the Fourth Proportional to 2,681.46, 3,700.38 and 1,502.58

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Solution

The fourth proportional to 2,681.46, 3,700.38 and 1,502.58 is: 2,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.46 : 3,700.38 = 1,502.58 : x
  2. Step 2: Convert to fraction form
    2,681.46/3,700.38 = 1,502.58/x
  3. Step 3: Cross multiply
    2,681.46x = 3,700.38 × 1,502.58
  4. Step 4: Simplify right side
    2,681.46x = 5,560,116.98
  5. Step 5: Solve for x
    x = 5,560,116.98/2,681.46
  6. Step 6: Final answer
    x = 2,073.54

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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.