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Finding the Fourth Proportional to 2,006.30, 2,811.70 and 2,006.30

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Solution

The fourth proportional to 2,006.30, 2,811.70 and 2,006.30 is: 2,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.30 : 2,811.70 = 2,006.30 : x
  2. Step 2: Convert to fraction form
    2,006.30/2,811.70 = 2,006.30/x
  3. Step 3: Cross multiply
    2,006.30x = 2,811.70 × 2,006.30
  4. Step 4: Simplify right side
    2,006.30x = 5,641,113.71
  5. Step 5: Solve for x
    x = 5,641,113.71/2,006.30
  6. Step 6: Final answer
    x = 2,811.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.