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Finding the Fourth Proportional to 1,934.03, 2,901.25 and 617.47

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Solution

The fourth proportional to 1,934.03, 2,901.25 and 617.47 is: 926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.03 : 2,901.25 = 617.47 : x
  2. Step 2: Convert to fraction form
    1,934.03/2,901.25 = 617.47/x
  3. Step 3: Cross multiply
    1,934.03x = 2,901.25 × 617.47
  4. Step 4: Simplify right side
    1,934.03x = 1,791,434.84
  5. Step 5: Solve for x
    x = 1,791,434.84/1,934.03
  6. Step 6: Final answer
    x = 926.27

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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.