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Finding the Fourth Proportional to 2,609.66, 3,914.48 and 879.50

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Solution

The fourth proportional to 2,609.66, 3,914.48 and 879.50 is: 1,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.66 : 3,914.48 = 879.50 : x
  2. Step 2: Convert to fraction form
    2,609.66/3,914.48 = 879.50/x
  3. Step 3: Cross multiply
    2,609.66x = 3,914.48 × 879.50
  4. Step 4: Simplify right side
    2,609.66x = 3,442,785.16
  5. Step 5: Solve for x
    x = 3,442,785.16/2,609.66
  6. Step 6: Final answer
    x = 1,319.25

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1.5x scale

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.