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Finding the Fourth Proportional to 2,118.64, 3,178.44 and 657.64

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Solution

The fourth proportional to 2,118.64, 3,178.44 and 657.64 is: 986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.64 : 3,178.44 = 657.64 : x
  2. Step 2: Convert to fraction form
    2,118.64/3,178.44 = 657.64/x
  3. Step 3: Cross multiply
    2,118.64x = 3,178.44 × 657.64
  4. Step 4: Simplify right side
    2,118.64x = 2,090,269.28
  5. Step 5: Solve for x
    x = 2,090,269.28/2,118.64
  6. Step 6: Final answer
    x = 986.61

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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.