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Finding the Fourth Proportional to 2,871.96, 4,307.40 and 997.86

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Solution

The fourth proportional to 2,871.96, 4,307.40 and 997.86 is: 1,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.96 : 4,307.40 = 997.86 : x
  2. Step 2: Convert to fraction form
    2,871.96/4,307.40 = 997.86/x
  3. Step 3: Cross multiply
    2,871.96x = 4,307.40 × 997.86
  4. Step 4: Simplify right side
    2,871.96x = 4,298,182.16
  5. Step 5: Solve for x
    x = 4,298,182.16/2,871.96
  6. Step 6: Final answer
    x = 1,496.60

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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.