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Finding the Fourth Proportional to 3,129.64, 4,694.49 and 2,580.46

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Solution

The fourth proportional to 3,129.64, 4,694.49 and 2,580.46 is: 3,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.64 : 4,694.49 = 2,580.46 : x
  2. Step 2: Convert to fraction form
    3,129.64/4,694.49 = 2,580.46/x
  3. Step 3: Cross multiply
    3,129.64x = 4,694.49 × 2,580.46
  4. Step 4: Simplify right side
    3,129.64x = 12,113,931.93
  5. Step 5: Solve for x
    x = 12,113,931.93/3,129.64
  6. Step 6: Final answer
    x = 3,870.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.