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Finding the Fourth Proportional to 2,927.98, 4,392.66 and 848.03

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Solution

The fourth proportional to 2,927.98, 4,392.66 and 848.03 is: 1,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.98 : 4,392.66 = 848.03 : x
  2. Step 2: Convert to fraction form
    2,927.98/4,392.66 = 848.03/x
  3. Step 3: Cross multiply
    2,927.98x = 4,392.66 × 848.03
  4. Step 4: Simplify right side
    2,927.98x = 3,725,107.46
  5. Step 5: Solve for x
    x = 3,725,107.46/2,927.98
  6. Step 6: Final answer
    x = 1,272.24

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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.