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Finding the Fourth Proportional to 2,865.96, 4,298.93 and 1,017.14

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Solution

The fourth proportional to 2,865.96, 4,298.93 and 1,017.14 is: 1,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.96 : 4,298.93 = 1,017.14 : x
  2. Step 2: Convert to fraction form
    2,865.96/4,298.93 = 1,017.14/x
  3. Step 3: Cross multiply
    2,865.96x = 4,298.93 × 1,017.14
  4. Step 4: Simplify right side
    2,865.96x = 4,372,613.66
  5. Step 5: Solve for x
    x = 4,372,613.66/2,865.96
  6. Step 6: Final answer
    x = 1,525.71

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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.