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Finding the Fourth Proportional to 3,145.77, 4,341.14 and 1,819.45

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Solution

The fourth proportional to 3,145.77, 4,341.14 and 1,819.45 is: 2,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.77 : 4,341.14 = 1,819.45 : x
  2. Step 2: Convert to fraction form
    3,145.77/4,341.14 = 1,819.45/x
  3. Step 3: Cross multiply
    3,145.77x = 4,341.14 × 1,819.45
  4. Step 4: Simplify right side
    3,145.77x = 7,898,487.17
  5. Step 5: Solve for x
    x = 7,898,487.17/3,145.77
  6. Step 6: Final answer
    x = 2,510.83

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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.