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Finding the Fourth Proportional to 2,568.50, 3,545.01 and 1,464.50

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Solution

The fourth proportional to 2,568.50, 3,545.01 and 1,464.50 is: 2,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.50 : 3,545.01 = 1,464.50 : x
  2. Step 2: Convert to fraction form
    2,568.50/3,545.01 = 1,464.50/x
  3. Step 3: Cross multiply
    2,568.50x = 3,545.01 × 1,464.50
  4. Step 4: Simplify right side
    2,568.50x = 5,191,667.15
  5. Step 5: Solve for x
    x = 5,191,667.15/2,568.50
  6. Step 6: Final answer
    x = 2,021.28

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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.