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Finding the Fourth Proportional to 2,664, 3,676.85 and 1,545.18

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Solution

The fourth proportional to 2,664, 3,676.85 and 1,545.18 is: 2,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664 : 3,676.85 = 1,545.18 : x
  2. Step 2: Convert to fraction form
    2,664/3,676.85 = 1,545.18/x
  3. Step 3: Cross multiply
    2,664x = 3,676.85 × 1,545.18
  4. Step 4: Simplify right side
    2,664x = 5,681,387.36
  5. Step 5: Solve for x
    x = 5,681,387.36/2,664
  6. Step 6: Final answer
    x = 2,132.65

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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.