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Finding the Fourth Proportional to 1,301.05, 1,961.12 and 1,225.77

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Solution

The fourth proportional to 1,301.05, 1,961.12 and 1,225.77 is: 1,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.05 : 1,961.12 = 1,225.77 : x
  2. Step 2: Convert to fraction form
    1,301.05/1,961.12 = 1,225.77/x
  3. Step 3: Cross multiply
    1,301.05x = 1,961.12 × 1,225.77
  4. Step 4: Simplify right side
    1,301.05x = 2,403,882.06
  5. Step 5: Solve for x
    x = 2,403,882.06/1,301.05
  6. Step 6: Final answer
    x = 1,847.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.