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Finding the Fourth Proportional to 2,854.72, 3,939.48 and 1,676.02

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Solution

The fourth proportional to 2,854.72, 3,939.48 and 1,676.02 is: 2,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.72 : 3,939.48 = 1,676.02 : x
  2. Step 2: Convert to fraction form
    2,854.72/3,939.48 = 1,676.02/x
  3. Step 3: Cross multiply
    2,854.72x = 3,939.48 × 1,676.02
  4. Step 4: Simplify right side
    2,854.72x = 6,602,647.27
  5. Step 5: Solve for x
    x = 6,602,647.27/2,854.72
  6. Step 6: Final answer
    x = 2,312.89

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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.