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Finding the Fourth Proportional to 1,580.87, 2,366.44 and 1,031.87

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Solution

The fourth proportional to 1,580.87, 2,366.44 and 1,031.87 is: 1,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.87 : 2,366.44 = 1,031.87 : x
  2. Step 2: Convert to fraction form
    1,580.87/2,366.44 = 1,031.87/x
  3. Step 3: Cross multiply
    1,580.87x = 2,366.44 × 1,031.87
  4. Step 4: Simplify right side
    1,580.87x = 2,441,858.44
  5. Step 5: Solve for x
    x = 2,441,858.44/1,580.87
  6. Step 6: Final answer
    x = 1,544.63

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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.