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Finding the Fourth Proportional to 2,275.70, 3,140.43 and 1,280.96

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Solution

The fourth proportional to 2,275.70, 3,140.43 and 1,280.96 is: 1,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.70 : 3,140.43 = 1,280.96 : x
  2. Step 2: Convert to fraction form
    2,275.70/3,140.43 = 1,280.96/x
  3. Step 3: Cross multiply
    2,275.70x = 3,140.43 × 1,280.96
  4. Step 4: Simplify right side
    2,275.70x = 4,022,749.51
  5. Step 5: Solve for x
    x = 4,022,749.51/2,275.70
  6. Step 6: Final answer
    x = 1,767.70

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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.