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Finding the Fourth Proportional to 1,624.85, 2,242.56 and 995.73

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Solution

The fourth proportional to 1,624.85, 2,242.56 and 995.73 is: 1,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.85 : 2,242.56 = 995.73 : x
  2. Step 2: Convert to fraction form
    1,624.85/2,242.56 = 995.73/x
  3. Step 3: Cross multiply
    1,624.85x = 2,242.56 × 995.73
  4. Step 4: Simplify right side
    1,624.85x = 2,232,976.00
  5. Step 5: Solve for x
    x = 2,232,976.00/1,624.85
  6. Step 6: Final answer
    x = 1,374.26

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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.