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Finding the Fourth Proportional to 2,130.71, 3,195.65 and 743.78

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Solution

The fourth proportional to 2,130.71, 3,195.65 and 743.78 is: 1,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.71 : 3,195.65 = 743.78 : x
  2. Step 2: Convert to fraction form
    2,130.71/3,195.65 = 743.78/x
  3. Step 3: Cross multiply
    2,130.71x = 3,195.65 × 743.78
  4. Step 4: Simplify right side
    2,130.71x = 2,376,870.41
  5. Step 5: Solve for x
    x = 2,376,870.41/2,130.71
  6. Step 6: Final answer
    x = 1,115.53

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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.