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Finding the Fourth Proportional to 1,509.19, 2,263.99 and 1,426.19

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Solution

The fourth proportional to 1,509.19, 2,263.99 and 1,426.19 is: 2,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.19 : 2,263.99 = 1,426.19 : x
  2. Step 2: Convert to fraction form
    1,509.19/2,263.99 = 1,426.19/x
  3. Step 3: Cross multiply
    1,509.19x = 2,263.99 × 1,426.19
  4. Step 4: Simplify right side
    1,509.19x = 3,228,879.90
  5. Step 5: Solve for x
    x = 3,228,879.90/1,509.19
  6. Step 6: Final answer
    x = 2,139.48

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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.