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Finding the Fourth Proportional to 1,767.83, 2,648.09 and 1,115.37

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Solution

The fourth proportional to 1,767.83, 2,648.09 and 1,115.37 is: 1,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.83 : 2,648.09 = 1,115.37 : x
  2. Step 2: Convert to fraction form
    1,767.83/2,648.09 = 1,115.37/x
  3. Step 3: Cross multiply
    1,767.83x = 2,648.09 × 1,115.37
  4. Step 4: Simplify right side
    1,767.83x = 2,953,602.93
  5. Step 5: Solve for x
    x = 2,953,602.93/1,767.83
  6. Step 6: Final answer
    x = 1,670.76

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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.