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Finding the Fourth Proportional to 2,655.80, 3,983.90 and 807.06

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Solution

The fourth proportional to 2,655.80, 3,983.90 and 807.06 is: 1,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.80 : 3,983.90 = 807.06 : x
  2. Step 2: Convert to fraction form
    2,655.80/3,983.90 = 807.06/x
  3. Step 3: Cross multiply
    2,655.80x = 3,983.90 × 807.06
  4. Step 4: Simplify right side
    2,655.80x = 3,215,246.33
  5. Step 5: Solve for x
    x = 3,215,246.33/2,655.80
  6. Step 6: Final answer
    x = 1,210.65

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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.