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Finding the Fourth Proportional to 1,982.03, 2,970.51 and 747.98

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Solution

The fourth proportional to 1,982.03, 2,970.51 and 747.98 is: 1,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.03 : 2,970.51 = 747.98 : x
  2. Step 2: Convert to fraction form
    1,982.03/2,970.51 = 747.98/x
  3. Step 3: Cross multiply
    1,982.03x = 2,970.51 × 747.98
  4. Step 4: Simplify right side
    1,982.03x = 2,221,867.22
  5. Step 5: Solve for x
    x = 2,221,867.22/1,982.03
  6. Step 6: Final answer
    x = 1,121.00

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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.