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Finding the Fourth Proportional to 2,753.76, 4,130.62 and 805.98

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Solution

The fourth proportional to 2,753.76, 4,130.62 and 805.98 is: 1,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.76 : 4,130.62 = 805.98 : x
  2. Step 2: Convert to fraction form
    2,753.76/4,130.62 = 805.98/x
  3. Step 3: Cross multiply
    2,753.76x = 4,130.62 × 805.98
  4. Step 4: Simplify right side
    2,753.76x = 3,329,197.11
  5. Step 5: Solve for x
    x = 3,329,197.11/2,753.76
  6. Step 6: Final answer
    x = 1,208.96

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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.