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Finding the Fourth Proportional to 2,776.92, 4,161.52 and 2,295.76

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Solution

The fourth proportional to 2,776.92, 4,161.52 and 2,295.76 is: 3,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.92 : 4,161.52 = 2,295.76 : x
  2. Step 2: Convert to fraction form
    2,776.92/4,161.52 = 2,295.76/x
  3. Step 3: Cross multiply
    2,776.92x = 4,161.52 × 2,295.76
  4. Step 4: Simplify right side
    2,776.92x = 9,553,851.16
  5. Step 5: Solve for x
    x = 9,553,851.16/2,776.92
  6. Step 6: Final answer
    x = 3,440.45

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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.