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Finding the Fourth Proportional to 2,307.82, 3,464.04 and 1,214.49

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Solution

The fourth proportional to 2,307.82, 3,464.04 and 1,214.49 is: 1,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.82 : 3,464.04 = 1,214.49 : x
  2. Step 2: Convert to fraction form
    2,307.82/3,464.04 = 1,214.49/x
  3. Step 3: Cross multiply
    2,307.82x = 3,464.04 × 1,214.49
  4. Step 4: Simplify right side
    2,307.82x = 4,207,041.94
  5. Step 5: Solve for x
    x = 4,207,041.94/2,307.82
  6. Step 6: Final answer
    x = 1,822.95

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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.