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Finding the Fourth Proportional to 2,573.52, 3,859.84 and 842.16

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Solution

The fourth proportional to 2,573.52, 3,859.84 and 842.16 is: 1,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.52 : 3,859.84 = 842.16 : x
  2. Step 2: Convert to fraction form
    2,573.52/3,859.84 = 842.16/x
  3. Step 3: Cross multiply
    2,573.52x = 3,859.84 × 842.16
  4. Step 4: Simplify right side
    2,573.52x = 3,250,602.85
  5. Step 5: Solve for x
    x = 3,250,602.85/2,573.52
  6. Step 6: Final answer
    x = 1,263.10

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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.