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Finding the Fourth Proportional to 1,362.75, 2,037.84 and 1,012.02

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Solution

The fourth proportional to 1,362.75, 2,037.84 and 1,012.02 is: 1,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.75 : 2,037.84 = 1,012.02 : x
  2. Step 2: Convert to fraction form
    1,362.75/2,037.84 = 1,012.02/x
  3. Step 3: Cross multiply
    1,362.75x = 2,037.84 × 1,012.02
  4. Step 4: Simplify right side
    1,362.75x = 2,062,334.84
  5. Step 5: Solve for x
    x = 2,062,334.84/1,362.75
  6. Step 6: Final answer
    x = 1,513.36

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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.