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Finding the Fourth Proportional to 2,585.59, 3,571.32 and 1,876.30

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Solution

The fourth proportional to 2,585.59, 3,571.32 and 1,876.30 is: 2,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.59 : 3,571.32 = 1,876.30 : x
  2. Step 2: Convert to fraction form
    2,585.59/3,571.32 = 1,876.30/x
  3. Step 3: Cross multiply
    2,585.59x = 3,571.32 × 1,876.30
  4. Step 4: Simplify right side
    2,585.59x = 6,700,867.72
  5. Step 5: Solve for x
    x = 6,700,867.72/2,585.59
  6. Step 6: Final answer
    x = 2,591.62

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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.