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Finding the Fourth Proportional to 3,145.71, 4,340.90 and 1,819.32

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Solution

The fourth proportional to 3,145.71, 4,340.90 and 1,819.32 is: 2,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.71 : 4,340.90 = 1,819.32 : x
  2. Step 2: Convert to fraction form
    3,145.71/4,340.90 = 1,819.32/x
  3. Step 3: Cross multiply
    3,145.71x = 4,340.90 × 1,819.32
  4. Step 4: Simplify right side
    3,145.71x = 7,897,477.09
  5. Step 5: Solve for x
    x = 7,897,477.09/3,145.71
  6. Step 6: Final answer
    x = 2,510.55

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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.