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Finding the Fourth Proportional to 2,275.77, 3,140.55 and 1,281

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Solution

The fourth proportional to 2,275.77, 3,140.55 and 1,281 is: 1,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.77 : 3,140.55 = 1,281 : x
  2. Step 2: Convert to fraction form
    2,275.77/3,140.55 = 1,281/x
  3. Step 3: Cross multiply
    2,275.77x = 3,140.55 × 1,281
  4. Step 4: Simplify right side
    2,275.77x = 4,023,044.55
  5. Step 5: Solve for x
    x = 4,023,044.55/2,275.77
  6. Step 6: Final answer
    x = 1,767.77

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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.