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Finding the Fourth Proportional to 2,118.35, 3,178.59 and 885.74

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Solution

The fourth proportional to 2,118.35, 3,178.59 and 885.74 is: 1,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.35 : 3,178.59 = 885.74 : x
  2. Step 2: Convert to fraction form
    2,118.35/3,178.59 = 885.74/x
  3. Step 3: Cross multiply
    2,118.35x = 3,178.59 × 885.74
  4. Step 4: Simplify right side
    2,118.35x = 2,815,390.07
  5. Step 5: Solve for x
    x = 2,815,390.07/2,118.35
  6. Step 6: Final answer
    x = 1,329.05

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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.