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Finding the Fourth Proportional to 3,301.48, 4,952.49 and 1,109.62

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Solution

The fourth proportional to 3,301.48, 4,952.49 and 1,109.62 is: 1,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.48 : 4,952.49 = 1,109.62 : x
  2. Step 2: Convert to fraction form
    3,301.48/4,952.49 = 1,109.62/x
  3. Step 3: Cross multiply
    3,301.48x = 4,952.49 × 1,109.62
  4. Step 4: Simplify right side
    3,301.48x = 5,495,381.95
  5. Step 5: Solve for x
    x = 5,495,381.95/3,301.48
  6. Step 6: Final answer
    x = 1,664.52

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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.