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Finding the Fourth Proportional to 3,033.92, 4,547.24 and 1,278.25

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Solution

The fourth proportional to 3,033.92, 4,547.24 and 1,278.25 is: 1,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.92 : 4,547.24 = 1,278.25 : x
  2. Step 2: Convert to fraction form
    3,033.92/4,547.24 = 1,278.25/x
  3. Step 3: Cross multiply
    3,033.92x = 4,547.24 × 1,278.25
  4. Step 4: Simplify right side
    3,033.92x = 5,812,496.56
  5. Step 5: Solve for x
    x = 5,812,496.56/3,033.92
  6. Step 6: Final answer
    x = 1,915.84

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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.