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Finding the Fourth Proportional to 1,580.70, 2,180.40 and 1,139.19

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Solution

The fourth proportional to 1,580.70, 2,180.40 and 1,139.19 is: 1,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.70 : 2,180.40 = 1,139.19 : x
  2. Step 2: Convert to fraction form
    1,580.70/2,180.40 = 1,139.19/x
  3. Step 3: Cross multiply
    1,580.70x = 2,180.40 × 1,139.19
  4. Step 4: Simplify right side
    1,580.70x = 2,483,889.88
  5. Step 5: Solve for x
    x = 2,483,889.88/1,580.70
  6. Step 6: Final answer
    x = 1,571.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.