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Finding the Fourth Proportional to 2,871.51, 4,326.80 and 2,362.92

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Solution

The fourth proportional to 2,871.51, 4,326.80 and 2,362.92 is: 3,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.51 : 4,326.80 = 2,362.92 : x
  2. Step 2: Convert to fraction form
    2,871.51/4,326.80 = 2,362.92/x
  3. Step 3: Cross multiply
    2,871.51x = 4,326.80 × 2,362.92
  4. Step 4: Simplify right side
    2,871.51x = 10,223,860.62
  5. Step 5: Solve for x
    x = 10,223,860.62/2,871.51
  6. Step 6: Final answer
    x = 3,560.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.