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Finding the Fourth Proportional to 3,158.53, 4,354.77 and 2,081.64

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Solution

The fourth proportional to 3,158.53, 4,354.77 and 2,081.64 is: 2,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.53 : 4,354.77 = 2,081.64 : x
  2. Step 2: Convert to fraction form
    3,158.53/4,354.77 = 2,081.64/x
  3. Step 3: Cross multiply
    3,158.53x = 4,354.77 × 2,081.64
  4. Step 4: Simplify right side
    3,158.53x = 9,065,040.35
  5. Step 5: Solve for x
    x = 9,065,040.35/3,158.53
  6. Step 6: Final answer
    x = 2,870.02

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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.