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Finding the Fourth Proportional to 2,157.39, 3,236.40 and 840.90

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Solution

The fourth proportional to 2,157.39, 3,236.40 and 840.90 is: 1,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.39 : 3,236.40 = 840.90 : x
  2. Step 2: Convert to fraction form
    2,157.39/3,236.40 = 840.90/x
  3. Step 3: Cross multiply
    2,157.39x = 3,236.40 × 840.90
  4. Step 4: Simplify right side
    2,157.39x = 2,721,488.76
  5. Step 5: Solve for x
    x = 2,721,488.76/2,157.39
  6. Step 6: Final answer
    x = 1,261.47

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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.