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Finding the Fourth Proportional to 2,737.99, 4,109.90 and 1,178.76

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Solution

The fourth proportional to 2,737.99, 4,109.90 and 1,178.76 is: 1,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.99 : 4,109.90 = 1,178.76 : x
  2. Step 2: Convert to fraction form
    2,737.99/4,109.90 = 1,178.76/x
  3. Step 3: Cross multiply
    2,737.99x = 4,109.90 × 1,178.76
  4. Step 4: Simplify right side
    2,737.99x = 4,844,585.72
  5. Step 5: Solve for x
    x = 4,844,585.72/2,737.99
  6. Step 6: Final answer
    x = 1,769.40

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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.