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Finding the Fourth Proportional to 2,287.71, 3,156.64 and 1,343.59

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Solution

The fourth proportional to 2,287.71, 3,156.64 and 1,343.59 is: 1,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.71 : 3,156.64 = 1,343.59 : x
  2. Step 2: Convert to fraction form
    2,287.71/3,156.64 = 1,343.59/x
  3. Step 3: Cross multiply
    2,287.71x = 3,156.64 × 1,343.59
  4. Step 4: Simplify right side
    2,287.71x = 4,241,218.69
  5. Step 5: Solve for x
    x = 4,241,218.69/2,287.71
  6. Step 6: Final answer
    x = 1,853.91

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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.