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Finding the Fourth Proportional to 2,319.35, 3,478.86 and 759.02

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Solution

The fourth proportional to 2,319.35, 3,478.86 and 759.02 is: 1,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.35 : 3,478.86 = 759.02 : x
  2. Step 2: Convert to fraction form
    2,319.35/3,478.86 = 759.02/x
  3. Step 3: Cross multiply
    2,319.35x = 3,478.86 × 759.02
  4. Step 4: Simplify right side
    2,319.35x = 2,640,506.92
  5. Step 5: Solve for x
    x = 2,640,506.92/2,319.35
  6. Step 6: Final answer
    x = 1,138.47

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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.