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Finding the Fourth Proportional to 2,758.96, 4,122.68 and 2,097.20

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Solution

The fourth proportional to 2,758.96, 4,122.68 and 2,097.20 is: 3,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.96 : 4,122.68 = 2,097.20 : x
  2. Step 2: Convert to fraction form
    2,758.96/4,122.68 = 2,097.20/x
  3. Step 3: Cross multiply
    2,758.96x = 4,122.68 × 2,097.20
  4. Step 4: Simplify right side
    2,758.96x = 8,646,084.50
  5. Step 5: Solve for x
    x = 8,646,084.50/2,758.96
  6. Step 6: Final answer
    x = 3,133.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.