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Finding the Fourth Proportional to 2,676.72, 4,014.01 and 1,032.21

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Solution

The fourth proportional to 2,676.72, 4,014.01 and 1,032.21 is: 1,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.72 : 4,014.01 = 1,032.21 : x
  2. Step 2: Convert to fraction form
    2,676.72/4,014.01 = 1,032.21/x
  3. Step 3: Cross multiply
    2,676.72x = 4,014.01 × 1,032.21
  4. Step 4: Simplify right side
    2,676.72x = 4,143,301.26
  5. Step 5: Solve for x
    x = 4,143,301.26/2,676.72
  6. Step 6: Final answer
    x = 1,547.90

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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.