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Finding the Fourth Proportional to 2,319.61, 3,200.61 and 1,876.74

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Solution

The fourth proportional to 2,319.61, 3,200.61 and 1,876.74 is: 2,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.61 : 3,200.61 = 1,876.74 : x
  2. Step 2: Convert to fraction form
    2,319.61/3,200.61 = 1,876.74/x
  3. Step 3: Cross multiply
    2,319.61x = 3,200.61 × 1,876.74
  4. Step 4: Simplify right side
    2,319.61x = 6,006,734.85
  5. Step 5: Solve for x
    x = 6,006,734.85/2,319.61
  6. Step 6: Final answer
    x = 2,589.54

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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.