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Finding the Fourth Proportional to 3,140.67, 4,711.55 and 1,496.55

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Solution

The fourth proportional to 3,140.67, 4,711.55 and 1,496.55 is: 2,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.67 : 4,711.55 = 1,496.55 : x
  2. Step 2: Convert to fraction form
    3,140.67/4,711.55 = 1,496.55/x
  3. Step 3: Cross multiply
    3,140.67x = 4,711.55 × 1,496.55
  4. Step 4: Simplify right side
    3,140.67x = 7,051,062.67
  5. Step 5: Solve for x
    x = 7,051,062.67/3,140.67
  6. Step 6: Final answer
    x = 2,245.08

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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.