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Finding the Fourth Proportional to 2,022.10, 3,031.86 and 635.02

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Solution

The fourth proportional to 2,022.10, 3,031.86 and 635.02 is: 952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.10 : 3,031.86 = 635.02 : x
  2. Step 2: Convert to fraction form
    2,022.10/3,031.86 = 635.02/x
  3. Step 3: Cross multiply
    2,022.10x = 3,031.86 × 635.02
  4. Step 4: Simplify right side
    2,022.10x = 1,925,291.74
  5. Step 5: Solve for x
    x = 1,925,291.74/2,022.10
  6. Step 6: Final answer
    x = 952.12

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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.