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Finding the Fourth Proportional to 1,215.02, 1,822.86 and 349.34

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Solution

The fourth proportional to 1,215.02, 1,822.86 and 349.34 is: 524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.02 : 1,822.86 = 349.34 : x
  2. Step 2: Convert to fraction form
    1,215.02/1,822.86 = 349.34/x
  3. Step 3: Cross multiply
    1,215.02x = 1,822.86 × 349.34
  4. Step 4: Simplify right side
    1,215.02x = 636,788.80
  5. Step 5: Solve for x
    x = 636,788.80/1,215.02
  6. Step 6: Final answer
    x = 524.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.