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Finding the Fourth Proportional to 2,031.25, 3,047 and 663.25

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Solution

The fourth proportional to 2,031.25, 3,047 and 663.25 is: 994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.25 : 3,047 = 663.25 : x
  2. Step 2: Convert to fraction form
    2,031.25/3,047 = 663.25/x
  3. Step 3: Cross multiply
    2,031.25x = 3,047 × 663.25
  4. Step 4: Simplify right side
    2,031.25x = 2,020,922.75
  5. Step 5: Solve for x
    x = 2,020,922.75/2,031.25
  6. Step 6: Final answer
    x = 994.92

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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.