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Finding the Fourth Proportional to 2,759.48, 3,807.45 and 2,013.84

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Solution

The fourth proportional to 2,759.48, 3,807.45 and 2,013.84 is: 2,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.48 : 3,807.45 = 2,013.84 : x
  2. Step 2: Convert to fraction form
    2,759.48/3,807.45 = 2,013.84/x
  3. Step 3: Cross multiply
    2,759.48x = 3,807.45 × 2,013.84
  4. Step 4: Simplify right side
    2,759.48x = 7,667,595.11
  5. Step 5: Solve for x
    x = 7,667,595.11/2,759.48
  6. Step 6: Final answer
    x = 2,778.64

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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.