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Finding the Fourth Proportional to 2,867.33, 4,298.67 and 1,017.43

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Solution

The fourth proportional to 2,867.33, 4,298.67 and 1,017.43 is: 1,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.33 : 4,298.67 = 1,017.43 : x
  2. Step 2: Convert to fraction form
    2,867.33/4,298.67 = 1,017.43/x
  3. Step 3: Cross multiply
    2,867.33x = 4,298.67 × 1,017.43
  4. Step 4: Simplify right side
    2,867.33x = 4,373,595.82
  5. Step 5: Solve for x
    x = 4,373,595.82/2,867.33
  6. Step 6: Final answer
    x = 1,525.32

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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.