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Finding the Fourth Proportional to 1,439.86, 2,157.63 and 862.10

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Solution

The fourth proportional to 1,439.86, 2,157.63 and 862.10 is: 1,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.86 : 2,157.63 = 862.10 : x
  2. Step 2: Convert to fraction form
    1,439.86/2,157.63 = 862.10/x
  3. Step 3: Cross multiply
    1,439.86x = 2,157.63 × 862.10
  4. Step 4: Simplify right side
    1,439.86x = 1,860,092.82
  5. Step 5: Solve for x
    x = 1,860,092.82/1,439.86
  6. Step 6: Final answer
    x = 1,291.86

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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.