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Finding the Fourth Proportional to 2,317.44, 3,476.52 and 778.80

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Solution

The fourth proportional to 2,317.44, 3,476.52 and 778.80 is: 1,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.44 : 3,476.52 = 778.80 : x
  2. Step 2: Convert to fraction form
    2,317.44/3,476.52 = 778.80/x
  3. Step 3: Cross multiply
    2,317.44x = 3,476.52 × 778.80
  4. Step 4: Simplify right side
    2,317.44x = 2,707,509.88
  5. Step 5: Solve for x
    x = 2,707,509.88/2,317.44
  6. Step 6: Final answer
    x = 1,168.32

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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.