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Finding the Fourth Proportional to 4,100.49, 6,148.17 and 1,326.42

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Solution

The fourth proportional to 4,100.49, 6,148.17 and 1,326.42 is: 1,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.49 : 6,148.17 = 1,326.42 : x
  2. Step 2: Convert to fraction form
    4,100.49/6,148.17 = 1,326.42/x
  3. Step 3: Cross multiply
    4,100.49x = 6,148.17 × 1,326.42
  4. Step 4: Simplify right side
    4,100.49x = 8,155,055.65
  5. Step 5: Solve for x
    x = 8,155,055.65/4,100.49
  6. Step 6: Final answer
    x = 1,988.80

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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.