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Finding the Fourth Proportional to 2,894.16, 4,339.49 and 946.11

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Solution

The fourth proportional to 2,894.16, 4,339.49 and 946.11 is: 1,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.16 : 4,339.49 = 946.11 : x
  2. Step 2: Convert to fraction form
    2,894.16/4,339.49 = 946.11/x
  3. Step 3: Cross multiply
    2,894.16x = 4,339.49 × 946.11
  4. Step 4: Simplify right side
    2,894.16x = 4,105,630.15
  5. Step 5: Solve for x
    x = 4,105,630.15/2,894.16
  6. Step 6: Final answer
    x = 1,418.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.