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Finding the Fourth Proportional to 2,309.62, 3,465.88 and 1,214.76

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Solution

The fourth proportional to 2,309.62, 3,465.88 and 1,214.76 is: 1,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.62 : 3,465.88 = 1,214.76 : x
  2. Step 2: Convert to fraction form
    2,309.62/3,465.88 = 1,214.76/x
  3. Step 3: Cross multiply
    2,309.62x = 3,465.88 × 1,214.76
  4. Step 4: Simplify right side
    2,309.62x = 4,210,212.39
  5. Step 5: Solve for x
    x = 4,210,212.39/2,309.62
  6. Step 6: Final answer
    x = 1,822.90

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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.