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Finding the Fourth Proportional to 2,656.68, 3,983.68 and 807.44

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Solution

The fourth proportional to 2,656.68, 3,983.68 and 807.44 is: 1,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.68 : 3,983.68 = 807.44 : x
  2. Step 2: Convert to fraction form
    2,656.68/3,983.68 = 807.44/x
  3. Step 3: Cross multiply
    2,656.68x = 3,983.68 × 807.44
  4. Step 4: Simplify right side
    2,656.68x = 3,216,582.58
  5. Step 5: Solve for x
    x = 3,216,582.58/2,656.68
  6. Step 6: Final answer
    x = 1,210.75

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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.