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Finding the Fourth Proportional to 2,615.46, 3,923.19 and 1,642.25

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Solution

The fourth proportional to 2,615.46, 3,923.19 and 1,642.25 is: 2,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.46 : 3,923.19 = 1,642.25 : x
  2. Step 2: Convert to fraction form
    2,615.46/3,923.19 = 1,642.25/x
  3. Step 3: Cross multiply
    2,615.46x = 3,923.19 × 1,642.25
  4. Step 4: Simplify right side
    2,615.46x = 6,442,830.95
  5. Step 5: Solve for x
    x = 6,442,830.95/2,615.46
  6. Step 6: Final answer
    x = 2,463.36

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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.