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Finding the Fourth Proportional to 1,816.71, 2,725.07 and 721.01

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Solution

The fourth proportional to 1,816.71, 2,725.07 and 721.01 is: 1,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.71 : 2,725.07 = 721.01 : x
  2. Step 2: Convert to fraction form
    1,816.71/2,725.07 = 721.01/x
  3. Step 3: Cross multiply
    1,816.71x = 2,725.07 × 721.01
  4. Step 4: Simplify right side
    1,816.71x = 1,964,785.49
  5. Step 5: Solve for x
    x = 1,964,785.49/1,816.71
  6. Step 6: Final answer
    x = 1,081.51

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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.