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Finding the Fourth Proportional to 2,833.92, 4,248.80 and 1,907.16

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Solution

The fourth proportional to 2,833.92, 4,248.80 and 1,907.16 is: 2,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.92 : 4,248.80 = 1,907.16 : x
  2. Step 2: Convert to fraction form
    2,833.92/4,248.80 = 1,907.16/x
  3. Step 3: Cross multiply
    2,833.92x = 4,248.80 × 1,907.16
  4. Step 4: Simplify right side
    2,833.92x = 8,103,141.41
  5. Step 5: Solve for x
    x = 8,103,141.41/2,833.92
  6. Step 6: Final answer
    x = 2,859.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.