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Finding the Fourth Proportional to 3,140.65, 4,711.76 and 2,218.01

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Solution

The fourth proportional to 3,140.65, 4,711.76 and 2,218.01 is: 3,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.65 : 4,711.76 = 2,218.01 : x
  2. Step 2: Convert to fraction form
    3,140.65/4,711.76 = 2,218.01/x
  3. Step 3: Cross multiply
    3,140.65x = 4,711.76 × 2,218.01
  4. Step 4: Simplify right side
    3,140.65x = 10,450,748.12
  5. Step 5: Solve for x
    x = 10,450,748.12/3,140.65
  6. Step 6: Final answer
    x = 3,327.58

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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.