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Finding the Fourth Proportional to 3,022.58, 4,171.58 and 1,678.49

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Solution

The fourth proportional to 3,022.58, 4,171.58 and 1,678.49 is: 2,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.58 : 4,171.58 = 1,678.49 : x
  2. Step 2: Convert to fraction form
    3,022.58/4,171.58 = 1,678.49/x
  3. Step 3: Cross multiply
    3,022.58x = 4,171.58 × 1,678.49
  4. Step 4: Simplify right side
    3,022.58x = 7,001,955.31
  5. Step 5: Solve for x
    x = 7,001,955.31/3,022.58
  6. Step 6: Final answer
    x = 2,316.55

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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.