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Finding the Fourth Proportional to 1,934.23, 2,901.57 and 617.63

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Solution

The fourth proportional to 1,934.23, 2,901.57 and 617.63 is: 926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.23 : 2,901.57 = 617.63 : x
  2. Step 2: Convert to fraction form
    1,934.23/2,901.57 = 617.63/x
  3. Step 3: Cross multiply
    1,934.23x = 2,901.57 × 617.63
  4. Step 4: Simplify right side
    1,934.23x = 1,792,083.33
  5. Step 5: Solve for x
    x = 1,792,083.33/1,934.23
  6. Step 6: Final answer
    x = 926.51

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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.