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Finding the Fourth Proportional to 2,711.56, 4,065.90 and 1,846.12

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Solution

The fourth proportional to 2,711.56, 4,065.90 and 1,846.12 is: 2,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.56 : 4,065.90 = 1,846.12 : x
  2. Step 2: Convert to fraction form
    2,711.56/4,065.90 = 1,846.12/x
  3. Step 3: Cross multiply
    2,711.56x = 4,065.90 × 1,846.12
  4. Step 4: Simplify right side
    2,711.56x = 7,506,139.31
  5. Step 5: Solve for x
    x = 7,506,139.31/2,711.56
  6. Step 6: Final answer
    x = 2,768.20

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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.