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Finding the Fourth Proportional to 2,119.10, 3,179.01 and 657.92

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Solution

The fourth proportional to 2,119.10, 3,179.01 and 657.92 is: 987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.10 : 3,179.01 = 657.92 : x
  2. Step 2: Convert to fraction form
    2,119.10/3,179.01 = 657.92/x
  3. Step 3: Cross multiply
    2,119.10x = 3,179.01 × 657.92
  4. Step 4: Simplify right side
    2,119.10x = 2,091,544.67
  5. Step 5: Solve for x
    x = 2,091,544.67/2,119.10
  6. Step 6: Final answer
    x = 987.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.