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Finding the Fourth Proportional to 2,913.85, 4,370.78 and 965.80

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Solution

The fourth proportional to 2,913.85, 4,370.78 and 965.80 is: 1,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.85 : 4,370.78 = 965.80 : x
  2. Step 2: Convert to fraction form
    2,913.85/4,370.78 = 965.80/x
  3. Step 3: Cross multiply
    2,913.85x = 4,370.78 × 965.80
  4. Step 4: Simplify right side
    2,913.85x = 4,221,299.32
  5. Step 5: Solve for x
    x = 4,221,299.32/2,913.85
  6. Step 6: Final answer
    x = 1,448.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.