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Finding the Fourth Proportional to 1,767.83, 2,650.37 and 946.79

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Solution

The fourth proportional to 1,767.83, 2,650.37 and 946.79 is: 1,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.83 : 2,650.37 = 946.79 : x
  2. Step 2: Convert to fraction form
    1,767.83/2,650.37 = 946.79/x
  3. Step 3: Cross multiply
    1,767.83x = 2,650.37 × 946.79
  4. Step 4: Simplify right side
    1,767.83x = 2,509,325.83
  5. Step 5: Solve for x
    x = 2,509,325.83/1,767.83
  6. Step 6: Final answer
    x = 1,419.44

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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.