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Finding the Fourth Proportional to 2,288.63, 3,158.31 and 1,240.70

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Solution

The fourth proportional to 2,288.63, 3,158.31 and 1,240.70 is: 1,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.63 : 3,158.31 = 1,240.70 : x
  2. Step 2: Convert to fraction form
    2,288.63/3,158.31 = 1,240.70/x
  3. Step 3: Cross multiply
    2,288.63x = 3,158.31 × 1,240.70
  4. Step 4: Simplify right side
    2,288.63x = 3,918,499.43
  5. Step 5: Solve for x
    x = 3,918,499.43/2,288.63
  6. Step 6: Final answer
    x = 1,712.16

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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.