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Finding the Fourth Proportional to 2,006.40, 2,803.20 and 2,006.40

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Solution

The fourth proportional to 2,006.40, 2,803.20 and 2,006.40 is: 2,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.40 : 2,803.20 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    2,006.40/2,803.20 = 2,006.40/x
  3. Step 3: Cross multiply
    2,006.40x = 2,803.20 × 2,006.40
  4. Step 4: Simplify right side
    2,006.40x = 5,624,340.48
  5. Step 5: Solve for x
    x = 5,624,340.48/2,006.40
  6. Step 6: Final answer
    x = 2,803.20

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Half scale
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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.