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Finding the Fourth Proportional to 2,373.77, 3,274.79 and 1,429.55

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Solution

The fourth proportional to 2,373.77, 3,274.79 and 1,429.55 is: 1,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.77 : 3,274.79 = 1,429.55 : x
  2. Step 2: Convert to fraction form
    2,373.77/3,274.79 = 1,429.55/x
  3. Step 3: Cross multiply
    2,373.77x = 3,274.79 × 1,429.55
  4. Step 4: Simplify right side
    2,373.77x = 4,681,452.52
  5. Step 5: Solve for x
    x = 4,681,452.52/2,373.77
  6. Step 6: Final answer
    x = 1,972.16

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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.