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Finding the Fourth Proportional to 1,420.56, 2,138.37 and 1,012.52

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Solution

The fourth proportional to 1,420.56, 2,138.37 and 1,012.52 is: 1,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 2,138.37 = 1,012.52 : x
  2. Step 2: Convert to fraction form
    1,420.56/2,138.37 = 1,012.52/x
  3. Step 3: Cross multiply
    1,420.56x = 2,138.37 × 1,012.52
  4. Step 4: Simplify right side
    1,420.56x = 2,165,142.39
  5. Step 5: Solve for x
    x = 2,165,142.39/1,420.56
  6. Step 6: Final answer
    x = 1,524.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.