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Finding the Fourth Proportional to 1,971.62, 2,957.44 and 801.66

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Solution

The fourth proportional to 1,971.62, 2,957.44 and 801.66 is: 1,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.62 : 2,957.44 = 801.66 : x
  2. Step 2: Convert to fraction form
    1,971.62/2,957.44 = 801.66/x
  3. Step 3: Cross multiply
    1,971.62x = 2,957.44 × 801.66
  4. Step 4: Simplify right side
    1,971.62x = 2,370,861.35
  5. Step 5: Solve for x
    x = 2,370,861.35/1,971.62
  6. Step 6: Final answer
    x = 1,202.49

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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.