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Finding the Fourth Proportional to 1,437.95, 2,157.84 and 822.86

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Solution

The fourth proportional to 1,437.95, 2,157.84 and 822.86 is: 1,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.95 : 2,157.84 = 822.86 : x
  2. Step 2: Convert to fraction form
    1,437.95/2,157.84 = 822.86/x
  3. Step 3: Cross multiply
    1,437.95x = 2,157.84 × 822.86
  4. Step 4: Simplify right side
    1,437.95x = 1,775,597.53
  5. Step 5: Solve for x
    x = 1,775,597.53/1,437.95
  6. Step 6: Final answer
    x = 1,234.81

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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.