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Finding the Fourth Proportional to 2,843.06, 4,264.78 and 895.40

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Solution

The fourth proportional to 2,843.06, 4,264.78 and 895.40 is: 1,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.06 : 4,264.78 = 895.40 : x
  2. Step 2: Convert to fraction form
    2,843.06/4,264.78 = 895.40/x
  3. Step 3: Cross multiply
    2,843.06x = 4,264.78 × 895.40
  4. Step 4: Simplify right side
    2,843.06x = 3,818,684.01
  5. Step 5: Solve for x
    x = 3,818,684.01/2,843.06
  6. Step 6: Final answer
    x = 1,343.16

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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.