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Finding the Fourth Proportional to 4,545.07, 6,814.40 and 1,769.40

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Solution

The fourth proportional to 4,545.07, 6,814.40 and 1,769.40 is: 2,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.07 : 6,814.40 = 1,769.40 : x
  2. Step 2: Convert to fraction form
    4,545.07/6,814.40 = 1,769.40/x
  3. Step 3: Cross multiply
    4,545.07x = 6,814.40 × 1,769.40
  4. Step 4: Simplify right side
    4,545.07x = 12,057,399.36
  5. Step 5: Solve for x
    x = 12,057,399.36/4,545.07
  6. Step 6: Final answer
    x = 2,652.85

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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.