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Finding the Fourth Proportional to 1,980.74, 2,971.14 and 748.73

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Solution

The fourth proportional to 1,980.74, 2,971.14 and 748.73 is: 1,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.74 : 2,971.14 = 748.73 : x
  2. Step 2: Convert to fraction form
    1,980.74/2,971.14 = 748.73/x
  3. Step 3: Cross multiply
    1,980.74x = 2,971.14 × 748.73
  4. Step 4: Simplify right side
    1,980.74x = 2,224,566.80
  5. Step 5: Solve for x
    x = 2,224,566.80/1,980.74
  6. Step 6: Final answer
    x = 1,123.10

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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.