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Finding the Fourth Proportional to 2,737.70, 4,106.96 and 1,006.19

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Solution

The fourth proportional to 2,737.70, 4,106.96 and 1,006.19 is: 1,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.70 : 4,106.96 = 1,006.19 : x
  2. Step 2: Convert to fraction form
    2,737.70/4,106.96 = 1,006.19/x
  3. Step 3: Cross multiply
    2,737.70x = 4,106.96 × 1,006.19
  4. Step 4: Simplify right side
    2,737.70x = 4,132,382.08
  5. Step 5: Solve for x
    x = 4,132,382.08/2,737.70
  6. Step 6: Final answer
    x = 1,509.44

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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.