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Finding the Fourth Proportional to 2,068, 3,101.34 and 606.76

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Solution

The fourth proportional to 2,068, 3,101.34 and 606.76 is: 909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068 : 3,101.34 = 606.76 : x
  2. Step 2: Convert to fraction form
    2,068/3,101.34 = 606.76/x
  3. Step 3: Cross multiply
    2,068x = 3,101.34 × 606.76
  4. Step 4: Simplify right side
    2,068x = 1,881,769.06
  5. Step 5: Solve for x
    x = 1,881,769.06/2,068
  6. Step 6: Final answer
    x = 909.95

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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.