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Finding the Fourth Proportional to 2,122.40, 2,928.84 and 1,190.72

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Solution

The fourth proportional to 2,122.40, 2,928.84 and 1,190.72 is: 1,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.40 : 2,928.84 = 1,190.72 : x
  2. Step 2: Convert to fraction form
    2,122.40/2,928.84 = 1,190.72/x
  3. Step 3: Cross multiply
    2,122.40x = 2,928.84 × 1,190.72
  4. Step 4: Simplify right side
    2,122.40x = 3,487,428.36
  5. Step 5: Solve for x
    x = 3,487,428.36/2,122.40
  6. Step 6: Final answer
    x = 1,643.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.