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Finding the Fourth Proportional to 2,537.40, 3,502.28 and 2,274.96

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Solution

The fourth proportional to 2,537.40, 3,502.28 and 2,274.96 is: 3,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.40 : 3,502.28 = 2,274.96 : x
  2. Step 2: Convert to fraction form
    2,537.40/3,502.28 = 2,274.96/x
  3. Step 3: Cross multiply
    2,537.40x = 3,502.28 × 2,274.96
  4. Step 4: Simplify right side
    2,537.40x = 7,967,546.91
  5. Step 5: Solve for x
    x = 7,967,546.91/2,537.40
  6. Step 6: Final answer
    x = 3,140.04

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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.