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Finding the Fourth Proportional to 2,106.46, 2,906.04 and 1,319.14

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Solution

The fourth proportional to 2,106.46, 2,906.04 and 1,319.14 is: 1,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.46 : 2,906.04 = 1,319.14 : x
  2. Step 2: Convert to fraction form
    2,106.46/2,906.04 = 1,319.14/x
  3. Step 3: Cross multiply
    2,106.46x = 2,906.04 × 1,319.14
  4. Step 4: Simplify right side
    2,106.46x = 3,833,473.61
  5. Step 5: Solve for x
    x = 3,833,473.61/2,106.46
  6. Step 6: Final answer
    x = 1,819.87

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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.