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Finding the Fourth Proportional to 2,681.24, 3,699.81 and 1,502.28

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Solution

The fourth proportional to 2,681.24, 3,699.81 and 1,502.28 is: 2,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.24 : 3,699.81 = 1,502.28 : x
  2. Step 2: Convert to fraction form
    2,681.24/3,699.81 = 1,502.28/x
  3. Step 3: Cross multiply
    2,681.24x = 3,699.81 × 1,502.28
  4. Step 4: Simplify right side
    2,681.24x = 5,558,150.57
  5. Step 5: Solve for x
    x = 5,558,150.57/2,681.24
  6. Step 6: Final answer
    x = 2,072.98

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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.