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Finding the Fourth Proportional to 2,275.68, 3,140.34 and 1,281

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Solution

The fourth proportional to 2,275.68, 3,140.34 and 1,281 is: 1,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.68 : 3,140.34 = 1,281 : x
  2. Step 2: Convert to fraction form
    2,275.68/3,140.34 = 1,281/x
  3. Step 3: Cross multiply
    2,275.68x = 3,140.34 × 1,281
  4. Step 4: Simplify right side
    2,275.68x = 4,022,775.54
  5. Step 5: Solve for x
    x = 4,022,775.54/2,275.68
  6. Step 6: Final answer
    x = 1,767.72

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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.