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Finding the Fourth Proportional to 2,157.02, 3,235.56 and 840.86

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Solution

The fourth proportional to 2,157.02, 3,235.56 and 840.86 is: 1,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.02 : 3,235.56 = 840.86 : x
  2. Step 2: Convert to fraction form
    2,157.02/3,235.56 = 840.86/x
  3. Step 3: Cross multiply
    2,157.02x = 3,235.56 × 840.86
  4. Step 4: Simplify right side
    2,157.02x = 2,720,652.98
  5. Step 5: Solve for x
    x = 2,720,652.98/2,157.02
  6. Step 6: Final answer
    x = 1,261.30

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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.