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Finding the Fourth Proportional to 2,681.16, 3,699.97 and 1,502.20

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Solution

The fourth proportional to 2,681.16, 3,699.97 and 1,502.20 is: 2,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.16 : 3,699.97 = 1,502.20 : x
  2. Step 2: Convert to fraction form
    2,681.16/3,699.97 = 1,502.20/x
  3. Step 3: Cross multiply
    2,681.16x = 3,699.97 × 1,502.20
  4. Step 4: Simplify right side
    2,681.16x = 5,558,094.93
  5. Step 5: Solve for x
    x = 5,558,094.93/2,681.16
  6. Step 6: Final answer
    x = 2,073.02

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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.