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Finding the Fourth Proportional to 1,533.37, 2,114.82 and 1,002.21

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Solution

The fourth proportional to 1,533.37, 2,114.82 and 1,002.21 is: 1,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.37 : 2,114.82 = 1,002.21 : x
  2. Step 2: Convert to fraction form
    1,533.37/2,114.82 = 1,002.21/x
  3. Step 3: Cross multiply
    1,533.37x = 2,114.82 × 1,002.21
  4. Step 4: Simplify right side
    1,533.37x = 2,119,493.75
  5. Step 5: Solve for x
    x = 2,119,493.75/1,533.37
  6. Step 6: Final answer
    x = 1,382.25

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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.