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Finding the Fourth Proportional to 2,660.84, 3,672.06 and 1,482.20

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Solution

The fourth proportional to 2,660.84, 3,672.06 and 1,482.20 is: 2,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.84 : 3,672.06 = 1,482.20 : x
  2. Step 2: Convert to fraction form
    2,660.84/3,672.06 = 1,482.20/x
  3. Step 3: Cross multiply
    2,660.84x = 3,672.06 × 1,482.20
  4. Step 4: Simplify right side
    2,660.84x = 5,442,727.33
  5. Step 5: Solve for x
    x = 5,442,727.33/2,660.84
  6. Step 6: Final answer
    x = 2,045.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.