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Finding the Fourth Proportional to 2,894.16, 4,342.86 and 1,578.00

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Solution

The fourth proportional to 2,894.16, 4,342.86 and 1,578.00 is: 2,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.16 : 4,342.86 = 1,578.00 : x
  2. Step 2: Convert to fraction form
    2,894.16/4,342.86 = 1,578.00/x
  3. Step 3: Cross multiply
    2,894.16x = 4,342.86 × 1,578.00
  4. Step 4: Simplify right side
    2,894.16x = 6,853,049.37
  5. Step 5: Solve for x
    x = 6,853,049.37/2,894.16
  6. Step 6: Final answer
    x = 2,367.89

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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.