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Finding the Fourth Proportional to 2,349.67, 3,242.52 and 1,287.42

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Solution

The fourth proportional to 2,349.67, 3,242.52 and 1,287.42 is: 1,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.67 : 3,242.52 = 1,287.42 : x
  2. Step 2: Convert to fraction form
    2,349.67/3,242.52 = 1,287.42/x
  3. Step 3: Cross multiply
    2,349.67x = 3,242.52 × 1,287.42
  4. Step 4: Simplify right side
    2,349.67x = 4,174,485.10
  5. Step 5: Solve for x
    x = 4,174,485.10/2,349.67
  6. Step 6: Final answer
    x = 1,776.63

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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.