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Finding the Fourth Proportional to 3,344.69, 5,017.65 and 1,123.30

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Solution

The fourth proportional to 3,344.69, 5,017.65 and 1,123.30 is: 1,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.69 : 5,017.65 = 1,123.30 : x
  2. Step 2: Convert to fraction form
    3,344.69/5,017.65 = 1,123.30/x
  3. Step 3: Cross multiply
    3,344.69x = 5,017.65 × 1,123.30
  4. Step 4: Simplify right side
    3,344.69x = 5,636,326.25
  5. Step 5: Solve for x
    x = 5,636,326.25/3,344.69
  6. Step 6: Final answer
    x = 1,685.16

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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.