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Finding the Fourth Proportional to 1,214.95, 1,822.12 and 349.26

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Solution

The fourth proportional to 1,214.95, 1,822.12 and 349.26 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.95 : 1,822.12 = 349.26 : x
  2. Step 2: Convert to fraction form
    1,214.95/1,822.12 = 349.26/x
  3. Step 3: Cross multiply
    1,214.95x = 1,822.12 × 349.26
  4. Step 4: Simplify right side
    1,214.95x = 636,391.88
  5. Step 5: Solve for x
    x = 636,391.88/1,214.95
  6. Step 6: Final answer
    x = 523.80

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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.