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Finding the Fourth Proportional to 2,226.66, 3,074.19 and 1,430.31

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Solution

The fourth proportional to 2,226.66, 3,074.19 and 1,430.31 is: 1,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.66 : 3,074.19 = 1,430.31 : x
  2. Step 2: Convert to fraction form
    2,226.66/3,074.19 = 1,430.31/x
  3. Step 3: Cross multiply
    2,226.66x = 3,074.19 × 1,430.31
  4. Step 4: Simplify right side
    2,226.66x = 4,397,022.18
  5. Step 5: Solve for x
    x = 4,397,022.18/2,226.66
  6. Step 6: Final answer
    x = 1,974.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.