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Finding the Fourth Proportional to 2,758.97, 3,810.69 and 2,011.74

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Solution

The fourth proportional to 2,758.97, 3,810.69 and 2,011.74 is: 2,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.97 : 3,810.69 = 2,011.74 : x
  2. Step 2: Convert to fraction form
    2,758.97/3,810.69 = 2,011.74/x
  3. Step 3: Cross multiply
    2,758.97x = 3,810.69 × 2,011.74
  4. Step 4: Simplify right side
    2,758.97x = 7,666,117.50
  5. Step 5: Solve for x
    x = 7,666,117.50/2,758.97
  6. Step 6: Final answer
    x = 2,778.62

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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.