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Finding the Fourth Proportional to 2,323.65, 3,211.74 and 2,041.77

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Solution

The fourth proportional to 2,323.65, 3,211.74 and 2,041.77 is: 2,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.65 : 3,211.74 = 2,041.77 : x
  2. Step 2: Convert to fraction form
    2,323.65/3,211.74 = 2,041.77/x
  3. Step 3: Cross multiply
    2,323.65x = 3,211.74 × 2,041.77
  4. Step 4: Simplify right side
    2,323.65x = 6,557,634.38
  5. Step 5: Solve for x
    x = 6,557,634.38/2,323.65
  6. Step 6: Final answer
    x = 2,822.13

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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.