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Finding the Fourth Proportional to 2,534.87, 3,802.64 and 779.99

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Solution

The fourth proportional to 2,534.87, 3,802.64 and 779.99 is: 1,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.87 : 3,802.64 = 779.99 : x
  2. Step 2: Convert to fraction form
    2,534.87/3,802.64 = 779.99/x
  3. Step 3: Cross multiply
    2,534.87x = 3,802.64 × 779.99
  4. Step 4: Simplify right side
    2,534.87x = 2,966,026.78
  5. Step 5: Solve for x
    x = 2,966,026.78/2,534.87
  6. Step 6: Final answer
    x = 1,170.09

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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.