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Finding the Fourth Proportional to 2,118.40, 3,177.58 and 657.56

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Solution

The fourth proportional to 2,118.40, 3,177.58 and 657.56 is: 986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.40 : 3,177.58 = 657.56 : x
  2. Step 2: Convert to fraction form
    2,118.40/3,177.58 = 657.56/x
  3. Step 3: Cross multiply
    2,118.40x = 3,177.58 × 657.56
  4. Step 4: Simplify right side
    2,118.40x = 2,089,449.50
  5. Step 5: Solve for x
    x = 2,089,449.50/2,118.40
  6. Step 6: Final answer
    x = 986.33

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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.