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Finding the Fourth Proportional to 1,584.65, 2,375.96 and 761.28

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Solution

The fourth proportional to 1,584.65, 2,375.96 and 761.28 is: 1,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.65 : 2,375.96 = 761.28 : x
  2. Step 2: Convert to fraction form
    1,584.65/2,375.96 = 761.28/x
  3. Step 3: Cross multiply
    1,584.65x = 2,375.96 × 761.28
  4. Step 4: Simplify right side
    1,584.65x = 1,808,767.02
  5. Step 5: Solve for x
    x = 1,808,767.02/1,584.65
  6. Step 6: Final answer
    x = 1,141.43

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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.