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Finding the Fourth Proportional to 3,458.82, 4,773.14 and 1,966.80

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Solution

The fourth proportional to 3,458.82, 4,773.14 and 1,966.80 is: 2,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.82 : 4,773.14 = 1,966.80 : x
  2. Step 2: Convert to fraction form
    3,458.82/4,773.14 = 1,966.80/x
  3. Step 3: Cross multiply
    3,458.82x = 4,773.14 × 1,966.80
  4. Step 4: Simplify right side
    3,458.82x = 9,387,811.75
  5. Step 5: Solve for x
    x = 9,387,811.75/3,458.82
  6. Step 6: Final answer
    x = 2,714.17

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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.