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Finding the Fourth Proportional to 2,804.36, 3,870.28 and 1,545.65

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Solution

The fourth proportional to 2,804.36, 3,870.28 and 1,545.65 is: 2,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.36 : 3,870.28 = 1,545.65 : x
  2. Step 2: Convert to fraction form
    2,804.36/3,870.28 = 1,545.65/x
  3. Step 3: Cross multiply
    2,804.36x = 3,870.28 × 1,545.65
  4. Step 4: Simplify right side
    2,804.36x = 5,982,095.38
  5. Step 5: Solve for x
    x = 5,982,095.38/2,804.36
  6. Step 6: Final answer
    x = 2,133.14

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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.