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Finding the Fourth Proportional to 1,934.23, 2,900.49 and 617.74

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Solution

The fourth proportional to 1,934.23, 2,900.49 and 617.74 is: 926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.23 : 2,900.49 = 617.74 : x
  2. Step 2: Convert to fraction form
    1,934.23/2,900.49 = 617.74/x
  3. Step 3: Cross multiply
    1,934.23x = 2,900.49 × 617.74
  4. Step 4: Simplify right side
    1,934.23x = 1,791,748.69
  5. Step 5: Solve for x
    x = 1,791,748.69/1,934.23
  6. Step 6: Final answer
    x = 926.34

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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.