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Finding the Fourth Proportional to 3,412.29, 4,708.62 and 1,920.18

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Solution

The fourth proportional to 3,412.29, 4,708.62 and 1,920.18 is: 2,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.29 : 4,708.62 = 1,920.18 : x
  2. Step 2: Convert to fraction form
    3,412.29/4,708.62 = 1,920.18/x
  3. Step 3: Cross multiply
    3,412.29x = 4,708.62 × 1,920.18
  4. Step 4: Simplify right side
    3,412.29x = 9,041,374.41
  5. Step 5: Solve for x
    x = 9,041,374.41/3,412.29
  6. Step 6: Final answer
    x = 2,649.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.