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Finding the Fourth Proportional to 2,152.99, 3,230.40 and 1,177.95

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Solution

The fourth proportional to 2,152.99, 3,230.40 and 1,177.95 is: 1,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.99 : 3,230.40 = 1,177.95 : x
  2. Step 2: Convert to fraction form
    2,152.99/3,230.40 = 1,177.95/x
  3. Step 3: Cross multiply
    2,152.99x = 3,230.40 × 1,177.95
  4. Step 4: Simplify right side
    2,152.99x = 3,805,249.68
  5. Step 5: Solve for x
    x = 3,805,249.68/2,152.99
  6. Step 6: Final answer
    x = 1,767.43

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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.