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Finding the Fourth Proportional to 1,711.83, 2,362.55 and 1,270.99

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Solution

The fourth proportional to 1,711.83, 2,362.55 and 1,270.99 is: 1,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.83 : 2,362.55 = 1,270.99 : x
  2. Step 2: Convert to fraction form
    1,711.83/2,362.55 = 1,270.99/x
  3. Step 3: Cross multiply
    1,711.83x = 2,362.55 × 1,270.99
  4. Step 4: Simplify right side
    1,711.83x = 3,002,765.61
  5. Step 5: Solve for x
    x = 3,002,765.61/1,711.83
  6. Step 6: Final answer
    x = 1,754.13

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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.