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Finding the Fourth Proportional to 2,164.86, 3,247.90 and 703.82

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Solution

The fourth proportional to 2,164.86, 3,247.90 and 703.82 is: 1,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.86 : 3,247.90 = 703.82 : x
  2. Step 2: Convert to fraction form
    2,164.86/3,247.90 = 703.82/x
  3. Step 3: Cross multiply
    2,164.86x = 3,247.90 × 703.82
  4. Step 4: Simplify right side
    2,164.86x = 2,285,943.34
  5. Step 5: Solve for x
    x = 2,285,943.34/2,164.86
  6. Step 6: Final answer
    x = 1,055.93

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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.