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Finding the Fourth Proportional to 2,507.66, 3,761.50 and 1,584.62

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Solution

The fourth proportional to 2,507.66, 3,761.50 and 1,584.62 is: 2,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.66 : 3,761.50 = 1,584.62 : x
  2. Step 2: Convert to fraction form
    2,507.66/3,761.50 = 1,584.62/x
  3. Step 3: Cross multiply
    2,507.66x = 3,761.50 × 1,584.62
  4. Step 4: Simplify right side
    2,507.66x = 5,960,548.13
  5. Step 5: Solve for x
    x = 5,960,548.13/2,507.66
  6. Step 6: Final answer
    x = 2,376.94

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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.