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Finding the Fourth Proportional to 2,275.74, 3,140.64 and 1,391.49

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Solution

The fourth proportional to 2,275.74, 3,140.64 and 1,391.49 is: 1,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.74 : 3,140.64 = 1,391.49 : x
  2. Step 2: Convert to fraction form
    2,275.74/3,140.64 = 1,391.49/x
  3. Step 3: Cross multiply
    2,275.74x = 3,140.64 × 1,391.49
  4. Step 4: Simplify right side
    2,275.74x = 4,370,169.15
  5. Step 5: Solve for x
    x = 4,370,169.15/2,275.74
  6. Step 6: Final answer
    x = 1,920.33

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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.