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Finding the Fourth Proportional to 2,681.42, 3,700.14 and 1,502.33

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Solution

The fourth proportional to 2,681.42, 3,700.14 and 1,502.33 is: 2,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.42 : 3,700.14 = 1,502.33 : x
  2. Step 2: Convert to fraction form
    2,681.42/3,700.14 = 1,502.33/x
  3. Step 3: Cross multiply
    2,681.42x = 3,700.14 × 1,502.33
  4. Step 4: Simplify right side
    2,681.42x = 5,558,812.83
  5. Step 5: Solve for x
    x = 5,558,812.83/2,681.42
  6. Step 6: Final answer
    x = 2,073.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.