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Finding the Fourth Proportional to 2,019.22, 3,029.18 and 632.28

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Solution

The fourth proportional to 2,019.22, 3,029.18 and 632.28 is: 948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.22 : 3,029.18 = 632.28 : x
  2. Step 2: Convert to fraction form
    2,019.22/3,029.18 = 632.28/x
  3. Step 3: Cross multiply
    2,019.22x = 3,029.18 × 632.28
  4. Step 4: Simplify right side
    2,019.22x = 1,915,298.13
  5. Step 5: Solve for x
    x = 1,915,298.13/2,019.22
  6. Step 6: Final answer
    x = 948.53

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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.