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Finding the Fourth Proportional to 2,412.74, 3,329.16 and 1,350.28

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Solution

The fourth proportional to 2,412.74, 3,329.16 and 1,350.28 is: 1,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.74 : 3,329.16 = 1,350.28 : x
  2. Step 2: Convert to fraction form
    2,412.74/3,329.16 = 1,350.28/x
  3. Step 3: Cross multiply
    2,412.74x = 3,329.16 × 1,350.28
  4. Step 4: Simplify right side
    2,412.74x = 4,495,298.16
  5. Step 5: Solve for x
    x = 4,495,298.16/2,412.74
  6. Step 6: Final answer
    x = 1,863.15

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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.