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Finding the Fourth Proportional to 2,226.91, 3,074.53 and 1,430.56

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Solution

The fourth proportional to 2,226.91, 3,074.53 and 1,430.56 is: 1,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.91 : 3,074.53 = 1,430.56 : x
  2. Step 2: Convert to fraction form
    2,226.91/3,074.53 = 1,430.56/x
  3. Step 3: Cross multiply
    2,226.91x = 3,074.53 × 1,430.56
  4. Step 4: Simplify right side
    2,226.91x = 4,398,284.26
  5. Step 5: Solve for x
    x = 4,398,284.26/2,226.91
  6. Step 6: Final answer
    x = 1,975.06

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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.