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Finding the Fourth Proportional to 1,783.86, 2,676.25 and 687.93

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Solution

The fourth proportional to 1,783.86, 2,676.25 and 687.93 is: 1,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.86 : 2,676.25 = 687.93 : x
  2. Step 2: Convert to fraction form
    1,783.86/2,676.25 = 687.93/x
  3. Step 3: Cross multiply
    1,783.86x = 2,676.25 × 687.93
  4. Step 4: Simplify right side
    1,783.86x = 1,841,072.66
  5. Step 5: Solve for x
    x = 1,841,072.66/1,783.86
  6. Step 6: Final answer
    x = 1,032.07

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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.