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Finding the Fourth Proportional to 2,807.93, 4,213.11 and 1,507.88

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Solution

The fourth proportional to 2,807.93, 4,213.11 and 1,507.88 is: 2,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.93 : 4,213.11 = 1,507.88 : x
  2. Step 2: Convert to fraction form
    2,807.93/4,213.11 = 1,507.88/x
  3. Step 3: Cross multiply
    2,807.93x = 4,213.11 × 1,507.88
  4. Step 4: Simplify right side
    2,807.93x = 6,352,874.84
  5. Step 5: Solve for x
    x = 6,352,874.84/2,807.93
  6. Step 6: Final answer
    x = 2,262.47

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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.