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Finding the Fourth Proportional to 3,033.65, 4,545.06 and 1,646.10

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Solution

The fourth proportional to 3,033.65, 4,545.06 and 1,646.10 is: 2,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.65 : 4,545.06 = 1,646.10 : x
  2. Step 2: Convert to fraction form
    3,033.65/4,545.06 = 1,646.10/x
  3. Step 3: Cross multiply
    3,033.65x = 4,545.06 × 1,646.10
  4. Step 4: Simplify right side
    3,033.65x = 7,481,623.27
  5. Step 5: Solve for x
    x = 7,481,623.27/3,033.65
  6. Step 6: Final answer
    x = 2,466.22

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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.