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Finding the Fourth Proportional to 2,804.20, 3,870.04 and 1,545.50

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Solution

The fourth proportional to 2,804.20, 3,870.04 and 1,545.50 is: 2,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.20 : 3,870.04 = 1,545.50 : x
  2. Step 2: Convert to fraction form
    2,804.20/3,870.04 = 1,545.50/x
  3. Step 3: Cross multiply
    2,804.20x = 3,870.04 × 1,545.50
  4. Step 4: Simplify right side
    2,804.20x = 5,981,146.82
  5. Step 5: Solve for x
    x = 5,981,146.82/2,804.20
  6. Step 6: Final answer
    x = 2,132.92

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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.