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Finding the Fourth Proportional to 1,819.32, 2,509.42 and 1,229.56

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Solution

The fourth proportional to 1,819.32, 2,509.42 and 1,229.56 is: 1,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.32 : 2,509.42 = 1,229.56 : x
  2. Step 2: Convert to fraction form
    1,819.32/2,509.42 = 1,229.56/x
  3. Step 3: Cross multiply
    1,819.32x = 2,509.42 × 1,229.56
  4. Step 4: Simplify right side
    1,819.32x = 3,085,482.46
  5. Step 5: Solve for x
    x = 3,085,482.46/1,819.32
  6. Step 6: Final answer
    x = 1,695.95

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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.