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Finding the Fourth Proportional to 2,934.19, 4,401.75 and 985.95

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Solution

The fourth proportional to 2,934.19, 4,401.75 and 985.95 is: 1,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.19 : 4,401.75 = 985.95 : x
  2. Step 2: Convert to fraction form
    2,934.19/4,401.75 = 985.95/x
  3. Step 3: Cross multiply
    2,934.19x = 4,401.75 × 985.95
  4. Step 4: Simplify right side
    2,934.19x = 4,339,905.41
  5. Step 5: Solve for x
    x = 4,339,905.41/2,934.19
  6. Step 6: Final answer
    x = 1,479.08

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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.