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Finding the Fourth Proportional to 3,461.60, 4,778.04 and 2,065.16

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Solution

The fourth proportional to 3,461.60, 4,778.04 and 2,065.16 is: 2,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.60 : 4,778.04 = 2,065.16 : x
  2. Step 2: Convert to fraction form
    3,461.60/4,778.04 = 2,065.16/x
  3. Step 3: Cross multiply
    3,461.60x = 4,778.04 × 2,065.16
  4. Step 4: Simplify right side
    3,461.60x = 9,867,417.09
  5. Step 5: Solve for x
    x = 9,867,417.09/3,461.60
  6. Step 6: Final answer
    x = 2,850.54

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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.