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Finding the Fourth Proportional to 2,275.82, 3,140.86 and 1,392.52

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Solution

The fourth proportional to 2,275.82, 3,140.86 and 1,392.52 is: 1,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.82 : 3,140.86 = 1,392.52 : x
  2. Step 2: Convert to fraction form
    2,275.82/3,140.86 = 1,392.52/x
  3. Step 3: Cross multiply
    2,275.82x = 3,140.86 × 1,392.52
  4. Step 4: Simplify right side
    2,275.82x = 4,373,699.03
  5. Step 5: Solve for x
    x = 4,373,699.03/2,275.82
  6. Step 6: Final answer
    x = 1,921.81

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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.