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Finding the Fourth Proportional to 2,118.35, 3,176.72 and 885.13

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Solution

The fourth proportional to 2,118.35, 3,176.72 and 885.13 is: 1,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.35 : 3,176.72 = 885.13 : x
  2. Step 2: Convert to fraction form
    2,118.35/3,176.72 = 885.13/x
  3. Step 3: Cross multiply
    2,118.35x = 3,176.72 × 885.13
  4. Step 4: Simplify right side
    2,118.35x = 2,811,801.13
  5. Step 5: Solve for x
    x = 2,811,801.13/2,118.35
  6. Step 6: Final answer
    x = 1,327.35

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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.