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Finding the Fourth Proportional to 3,182.90, 4,392.18 and 1,856.54

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Solution

The fourth proportional to 3,182.90, 4,392.18 and 1,856.54 is: 2,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.90 : 4,392.18 = 1,856.54 : x
  2. Step 2: Convert to fraction form
    3,182.90/4,392.18 = 1,856.54/x
  3. Step 3: Cross multiply
    3,182.90x = 4,392.18 × 1,856.54
  4. Step 4: Simplify right side
    3,182.90x = 8,154,257.86
  5. Step 5: Solve for x
    x = 8,154,257.86/3,182.90
  6. Step 6: Final answer
    x = 2,561.90

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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.