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Finding the Fourth Proportional to 2,118.82, 3,178.16 and 657.94

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Solution

The fourth proportional to 2,118.82, 3,178.16 and 657.94 is: 986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.82 : 3,178.16 = 657.94 : x
  2. Step 2: Convert to fraction form
    2,118.82/3,178.16 = 657.94/x
  3. Step 3: Cross multiply
    2,118.82x = 3,178.16 × 657.94
  4. Step 4: Simplify right side
    2,118.82x = 2,091,038.59
  5. Step 5: Solve for x
    x = 2,091,038.59/2,118.82
  6. Step 6: Final answer
    x = 986.89

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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.