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Finding the Fourth Proportional to 1,580.37, 2,365.70 and 1,031.37

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Solution

The fourth proportional to 1,580.37, 2,365.70 and 1,031.37 is: 1,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.37 : 2,365.70 = 1,031.37 : x
  2. Step 2: Convert to fraction form
    1,580.37/2,365.70 = 1,031.37/x
  3. Step 3: Cross multiply
    1,580.37x = 2,365.70 × 1,031.37
  4. Step 4: Simplify right side
    1,580.37x = 2,439,906.85
  5. Step 5: Solve for x
    x = 2,439,906.85/1,580.37
  6. Step 6: Final answer
    x = 1,543.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.