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Finding the Fourth Proportional to 2,117.28, 3,172.80 and 963.84

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Solution

The fourth proportional to 2,117.28, 3,172.80 and 963.84 is: 1,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.28 : 3,172.80 = 963.84 : x
  2. Step 2: Convert to fraction form
    2,117.28/3,172.80 = 963.84/x
  3. Step 3: Cross multiply
    2,117.28x = 3,172.80 × 963.84
  4. Step 4: Simplify right side
    2,117.28x = 3,058,071.55
  5. Step 5: Solve for x
    x = 3,058,071.55/2,117.28
  6. Step 6: Final answer
    x = 1,444.34

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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.