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Finding the Fourth Proportional to 2,252.09, 3,379.14 and 1,430.14

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Solution

The fourth proportional to 2,252.09, 3,379.14 and 1,430.14 is: 2,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.09 : 3,379.14 = 1,430.14 : x
  2. Step 2: Convert to fraction form
    2,252.09/3,379.14 = 1,430.14/x
  3. Step 3: Cross multiply
    2,252.09x = 3,379.14 × 1,430.14
  4. Step 4: Simplify right side
    2,252.09x = 4,832,634.83
  5. Step 5: Solve for x
    x = 4,832,634.83/2,252.09
  6. Step 6: Final answer
    x = 2,145.85

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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.