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Finding the Fourth Proportional to 2,309.82, 3,465.54 and 1,012.20

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Solution

The fourth proportional to 2,309.82, 3,465.54 and 1,012.20 is: 1,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.82 : 3,465.54 = 1,012.20 : x
  2. Step 2: Convert to fraction form
    2,309.82/3,465.54 = 1,012.20/x
  3. Step 3: Cross multiply
    2,309.82x = 3,465.54 × 1,012.20
  4. Step 4: Simplify right side
    2,309.82x = 3,507,819.59
  5. Step 5: Solve for x
    x = 3,507,819.59/2,309.82
  6. Step 6: Final answer
    x = 1,518.65

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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.