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Finding the Fourth Proportional to 2,983.60, 4,113 and 2,196.40

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Solution

The fourth proportional to 2,983.60, 4,113 and 2,196.40 is: 3,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.60 : 4,113 = 2,196.40 : x
  2. Step 2: Convert to fraction form
    2,983.60/4,113 = 2,196.40/x
  3. Step 3: Cross multiply
    2,983.60x = 4,113 × 2,196.40
  4. Step 4: Simplify right side
    2,983.60x = 9,033,793.20
  5. Step 5: Solve for x
    x = 9,033,793.20/2,983.60
  6. Step 6: Final answer
    x = 3,027.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.