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Finding the Fourth Proportional to 2,264.87, 3,396.35 and 1,033.07

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Solution

The fourth proportional to 2,264.87, 3,396.35 and 1,033.07 is: 1,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.87 : 3,396.35 = 1,033.07 : x
  2. Step 2: Convert to fraction form
    2,264.87/3,396.35 = 1,033.07/x
  3. Step 3: Cross multiply
    2,264.87x = 3,396.35 × 1,033.07
  4. Step 4: Simplify right side
    2,264.87x = 3,508,645.15
  5. Step 5: Solve for x
    x = 3,508,645.15/2,264.87
  6. Step 6: Final answer
    x = 1,549.16

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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.