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Finding the Fourth Proportional to 1,580.84, 2,371.26 and 756.62

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Solution

The fourth proportional to 1,580.84, 2,371.26 and 756.62 is: 1,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.84 : 2,371.26 = 756.62 : x
  2. Step 2: Convert to fraction form
    1,580.84/2,371.26 = 756.62/x
  3. Step 3: Cross multiply
    1,580.84x = 2,371.26 × 756.62
  4. Step 4: Simplify right side
    1,580.84x = 1,794,142.74
  5. Step 5: Solve for x
    x = 1,794,142.74/1,580.84
  6. Step 6: Final answer
    x = 1,134.93

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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.