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Finding the Fourth Proportional to 3,062.90, 4,594.95 and 982.75

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Solution

The fourth proportional to 3,062.90, 4,594.95 and 982.75 is: 1,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.90 : 4,594.95 = 982.75 : x
  2. Step 2: Convert to fraction form
    3,062.90/4,594.95 = 982.75/x
  3. Step 3: Cross multiply
    3,062.90x = 4,594.95 × 982.75
  4. Step 4: Simplify right side
    3,062.90x = 4,515,667.97
  5. Step 5: Solve for x
    x = 4,515,667.97/3,062.90
  6. Step 6: Final answer
    x = 1,474.31

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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.