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Finding the Fourth Proportional to 2,011.76, 2,775.49 and 1,225.52

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Solution

The fourth proportional to 2,011.76, 2,775.49 and 1,225.52 is: 1,690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.76 : 2,775.49 = 1,225.52 : x
  2. Step 2: Convert to fraction form
    2,011.76/2,775.49 = 1,225.52/x
  3. Step 3: Cross multiply
    2,011.76x = 2,775.49 × 1,225.52
  4. Step 4: Simplify right side
    2,011.76x = 3,401,401.56
  5. Step 5: Solve for x
    x = 3,401,401.56/2,011.76
  6. Step 6: Final answer
    x = 1,690.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.