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Finding the Fourth Proportional to 1,650.78, 2,277.05 and 1,207.85

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Solution

The fourth proportional to 1,650.78, 2,277.05 and 1,207.85 is: 1,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.78 : 2,277.05 = 1,207.85 : x
  2. Step 2: Convert to fraction form
    1,650.78/2,277.05 = 1,207.85/x
  3. Step 3: Cross multiply
    1,650.78x = 2,277.05 × 1,207.85
  4. Step 4: Simplify right side
    1,650.78x = 2,750,317.42
  5. Step 5: Solve for x
    x = 2,750,317.42/1,650.78
  6. Step 6: Final answer
    x = 1,666.07

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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.