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Finding the Fourth Proportional to 2,158.90, 3,236.70 and 1,542.22

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Solution

The fourth proportional to 2,158.90, 3,236.70 and 1,542.22 is: 2,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.90 : 3,236.70 = 1,542.22 : x
  2. Step 2: Convert to fraction form
    2,158.90/3,236.70 = 1,542.22/x
  3. Step 3: Cross multiply
    2,158.90x = 3,236.70 × 1,542.22
  4. Step 4: Simplify right side
    2,158.90x = 4,991,703.47
  5. Step 5: Solve for x
    x = 4,991,703.47/2,158.90
  6. Step 6: Final answer
    x = 2,312.15

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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.