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Finding the Fourth Proportional to 3,102.30, 4,655.48 and 1,642.55

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Solution

The fourth proportional to 3,102.30, 4,655.48 and 1,642.55 is: 2,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.30 : 4,655.48 = 1,642.55 : x
  2. Step 2: Convert to fraction form
    3,102.30/4,655.48 = 1,642.55/x
  3. Step 3: Cross multiply
    3,102.30x = 4,655.48 × 1,642.55
  4. Step 4: Simplify right side
    3,102.30x = 7,646,827.18
  5. Step 5: Solve for x
    x = 7,646,827.18/3,102.30
  6. Step 6: Final answer
    x = 2,464.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.