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Finding the Fourth Proportional to 2,121.85, 2,927.85 and 1,177.56

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Solution

The fourth proportional to 2,121.85, 2,927.85 and 1,177.56 is: 1,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.85 : 2,927.85 = 1,177.56 : x
  2. Step 2: Convert to fraction form
    2,121.85/2,927.85 = 1,177.56/x
  3. Step 3: Cross multiply
    2,121.85x = 2,927.85 × 1,177.56
  4. Step 4: Simplify right side
    2,121.85x = 3,447,722.86
  5. Step 5: Solve for x
    x = 3,447,722.86/2,121.85
  6. Step 6: Final answer
    x = 1,624.87

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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.