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Finding the Fourth Proportional to 2,071.59, 3,108.20 and 772.76

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Solution

The fourth proportional to 2,071.59, 3,108.20 and 772.76 is: 1,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.59 : 3,108.20 = 772.76 : x
  2. Step 2: Convert to fraction form
    2,071.59/3,108.20 = 772.76/x
  3. Step 3: Cross multiply
    2,071.59x = 3,108.20 × 772.76
  4. Step 4: Simplify right side
    2,071.59x = 2,401,873.23
  5. Step 5: Solve for x
    x = 2,401,873.23/2,071.59
  6. Step 6: Final answer
    x = 1,159.43

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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.