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Finding the Fourth Proportional to 2,970.15, 4,454.91 and 778.87

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Solution

The fourth proportional to 2,970.15, 4,454.91 and 778.87 is: 1,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.15 : 4,454.91 = 778.87 : x
  2. Step 2: Convert to fraction form
    2,970.15/4,454.91 = 778.87/x
  3. Step 3: Cross multiply
    2,970.15x = 4,454.91 × 778.87
  4. Step 4: Simplify right side
    2,970.15x = 3,469,795.75
  5. Step 5: Solve for x
    x = 3,469,795.75/2,970.15
  6. Step 6: Final answer
    x = 1,168.22

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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.