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Finding the Fourth Proportional to 1,783.98, 2,676.48 and 688.05

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Solution

The fourth proportional to 1,783.98, 2,676.48 and 688.05 is: 1,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.98 : 2,676.48 = 688.05 : x
  2. Step 2: Convert to fraction form
    1,783.98/2,676.48 = 688.05/x
  3. Step 3: Cross multiply
    1,783.98x = 2,676.48 × 688.05
  4. Step 4: Simplify right side
    1,783.98x = 1,841,552.06
  5. Step 5: Solve for x
    x = 1,841,552.06/1,783.98
  6. Step 6: Final answer
    x = 1,032.27

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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.