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Finding the Fourth Proportional to 3,275.64, 4,522.28 and 2,017.20

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Solution

The fourth proportional to 3,275.64, 4,522.28 and 2,017.20 is: 2,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.64 : 4,522.28 = 2,017.20 : x
  2. Step 2: Convert to fraction form
    3,275.64/4,522.28 = 2,017.20/x
  3. Step 3: Cross multiply
    3,275.64x = 4,522.28 × 2,017.20
  4. Step 4: Simplify right side
    3,275.64x = 9,122,343.22
  5. Step 5: Solve for x
    x = 9,122,343.22/3,275.64
  6. Step 6: Final answer
    x = 2,784.90

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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.