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Finding the Fourth Proportional to 2,277.71, 3,142.55 and 1,392.59

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Solution

The fourth proportional to 2,277.71, 3,142.55 and 1,392.59 is: 1,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.71 : 3,142.55 = 1,392.59 : x
  2. Step 2: Convert to fraction form
    2,277.71/3,142.55 = 1,392.59/x
  3. Step 3: Cross multiply
    2,277.71x = 3,142.55 × 1,392.59
  4. Step 4: Simplify right side
    2,277.71x = 4,376,261.03
  5. Step 5: Solve for x
    x = 4,376,261.03/2,277.71
  6. Step 6: Final answer
    x = 1,921.35

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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.