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Finding the Fourth Proportional to 2,021.98, 3,031.48 and 788.76

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Solution

The fourth proportional to 2,021.98, 3,031.48 and 788.76 is: 1,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.98 : 3,031.48 = 788.76 : x
  2. Step 2: Convert to fraction form
    2,021.98/3,031.48 = 788.76/x
  3. Step 3: Cross multiply
    2,021.98x = 3,031.48 × 788.76
  4. Step 4: Simplify right side
    2,021.98x = 2,391,110.16
  5. Step 5: Solve for x
    x = 2,391,110.16/2,021.98
  6. Step 6: Final answer
    x = 1,182.56

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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.