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Finding the Fourth Proportional to 2,158.25, 3,234.13 and 1,543.25

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Solution

The fourth proportional to 2,158.25, 3,234.13 and 1,543.25 is: 2,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.25 : 3,234.13 = 1,543.25 : x
  2. Step 2: Convert to fraction form
    2,158.25/3,234.13 = 1,543.25/x
  3. Step 3: Cross multiply
    2,158.25x = 3,234.13 × 1,543.25
  4. Step 4: Simplify right side
    2,158.25x = 4,991,075.35
  5. Step 5: Solve for x
    x = 4,991,075.35/2,158.25
  6. Step 6: Final answer
    x = 2,312.56

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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.