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Finding the Fourth Proportional to 2,119.02, 3,177.72 and 657.78

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Solution

The fourth proportional to 2,119.02, 3,177.72 and 657.78 is: 986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.02 : 3,177.72 = 657.78 : x
  2. Step 2: Convert to fraction form
    2,119.02/3,177.72 = 657.78/x
  3. Step 3: Cross multiply
    2,119.02x = 3,177.72 × 657.78
  4. Step 4: Simplify right side
    2,119.02x = 2,090,240.66
  5. Step 5: Solve for x
    x = 2,090,240.66/2,119.02
  6. Step 6: Final answer
    x = 986.42

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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.