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Finding the Fourth Proportional to 1,980.75, 2,971.80 and 748.50

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Solution

The fourth proportional to 1,980.75, 2,971.80 and 748.50 is: 1,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.75 : 2,971.80 = 748.50 : x
  2. Step 2: Convert to fraction form
    1,980.75/2,971.80 = 748.50/x
  3. Step 3: Cross multiply
    1,980.75x = 2,971.80 × 748.50
  4. Step 4: Simplify right side
    1,980.75x = 2,224,392.30
  5. Step 5: Solve for x
    x = 2,224,392.30/1,980.75
  6. Step 6: Final answer
    x = 1,123.01

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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.