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Finding the Fourth Proportional to 2,804.08, 3,869.50 and 1,545.08

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Solution

The fourth proportional to 2,804.08, 3,869.50 and 1,545.08 is: 2,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.08 : 3,869.50 = 1,545.08 : x
  2. Step 2: Convert to fraction form
    2,804.08/3,869.50 = 1,545.08/x
  3. Step 3: Cross multiply
    2,804.08x = 3,869.50 × 1,545.08
  4. Step 4: Simplify right side
    2,804.08x = 5,978,687.06
  5. Step 5: Solve for x
    x = 5,978,687.06/2,804.08
  6. Step 6: Final answer
    x = 2,132.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.