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Finding the Fourth Proportional to 3,290.56, 4,541.88 and 1,965.16

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Solution

The fourth proportional to 3,290.56, 4,541.88 and 1,965.16 is: 2,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.56 : 4,541.88 = 1,965.16 : x
  2. Step 2: Convert to fraction form
    3,290.56/4,541.88 = 1,965.16/x
  3. Step 3: Cross multiply
    3,290.56x = 4,541.88 × 1,965.16
  4. Step 4: Simplify right side
    3,290.56x = 8,925,520.90
  5. Step 5: Solve for x
    x = 8,925,520.90/3,290.56
  6. Step 6: Final answer
    x = 2,712.46

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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.