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Finding the Fourth Proportional to 2,133.60, 3,203.16 and 1,443.34

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Solution

The fourth proportional to 2,133.60, 3,203.16 and 1,443.34 is: 2,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.60 : 3,203.16 = 1,443.34 : x
  2. Step 2: Convert to fraction form
    2,133.60/3,203.16 = 1,443.34/x
  3. Step 3: Cross multiply
    2,133.60x = 3,203.16 × 1,443.34
  4. Step 4: Simplify right side
    2,133.60x = 4,623,248.95
  5. Step 5: Solve for x
    x = 4,623,248.95/2,133.60
  6. Step 6: Final answer
    x = 2,166.88

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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.