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Finding the Fourth Proportional to 2,866.78, 4,300.42 and 1,017.44

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Solution

The fourth proportional to 2,866.78, 4,300.42 and 1,017.44 is: 1,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.78 : 4,300.42 = 1,017.44 : x
  2. Step 2: Convert to fraction form
    2,866.78/4,300.42 = 1,017.44/x
  3. Step 3: Cross multiply
    2,866.78x = 4,300.42 × 1,017.44
  4. Step 4: Simplify right side
    2,866.78x = 4,375,419.32
  5. Step 5: Solve for x
    x = 4,375,419.32/2,866.78
  6. Step 6: Final answer
    x = 1,526.25

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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.