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Finding the Fourth Proportional to 2,157.98, 3,234.52 and 1,897.47

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Solution

The fourth proportional to 2,157.98, 3,234.52 and 1,897.47 is: 2,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.98 : 3,234.52 = 1,897.47 : x
  2. Step 2: Convert to fraction form
    2,157.98/3,234.52 = 1,897.47/x
  3. Step 3: Cross multiply
    2,157.98x = 3,234.52 × 1,897.47
  4. Step 4: Simplify right side
    2,157.98x = 6,137,403.26
  5. Step 5: Solve for x
    x = 6,137,403.26/2,157.98
  6. Step 6: Final answer
    x = 2,844.06

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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.