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Finding the Fourth Proportional to 1,424.78, 2,135.71 and 905.17

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Solution

The fourth proportional to 1,424.78, 2,135.71 and 905.17 is: 1,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.78 : 2,135.71 = 905.17 : x
  2. Step 2: Convert to fraction form
    1,424.78/2,135.71 = 905.17/x
  3. Step 3: Cross multiply
    1,424.78x = 2,135.71 × 905.17
  4. Step 4: Simplify right side
    1,424.78x = 1,933,165.42
  5. Step 5: Solve for x
    x = 1,933,165.42/1,424.78
  6. Step 6: Final answer
    x = 1,356.82

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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.