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Finding the Fourth Proportional to 2,843.16, 4,266.03 and 1,283.57

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Solution

The fourth proportional to 2,843.16, 4,266.03 and 1,283.57 is: 1,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.16 : 4,266.03 = 1,283.57 : x
  2. Step 2: Convert to fraction form
    2,843.16/4,266.03 = 1,283.57/x
  3. Step 3: Cross multiply
    2,843.16x = 4,266.03 × 1,283.57
  4. Step 4: Simplify right side
    2,843.16x = 5,475,748.13
  5. Step 5: Solve for x
    x = 5,475,748.13/2,843.16
  6. Step 6: Final answer
    x = 1,925.94

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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.