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Finding the Fourth Proportional to 1,982.30, 2,973.48 and 750.29

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Solution

The fourth proportional to 1,982.30, 2,973.48 and 750.29 is: 1,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.30 : 2,973.48 = 750.29 : x
  2. Step 2: Convert to fraction form
    1,982.30/2,973.48 = 750.29/x
  3. Step 3: Cross multiply
    1,982.30x = 2,973.48 × 750.29
  4. Step 4: Simplify right side
    1,982.30x = 2,230,972.31
  5. Step 5: Solve for x
    x = 2,230,972.31/1,982.30
  6. Step 6: Final answer
    x = 1,125.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.