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Finding the Fourth Proportional to 2,957.82, 4,436.98 and 849.45

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Solution

The fourth proportional to 2,957.82, 4,436.98 and 849.45 is: 1,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.82 : 4,436.98 = 849.45 : x
  2. Step 2: Convert to fraction form
    2,957.82/4,436.98 = 849.45/x
  3. Step 3: Cross multiply
    2,957.82x = 4,436.98 × 849.45
  4. Step 4: Simplify right side
    2,957.82x = 3,768,992.66
  5. Step 5: Solve for x
    x = 3,768,992.66/2,957.82
  6. Step 6: Final answer
    x = 1,274.25

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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.