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Finding the Fourth Proportional to 2,534.48, 3,802.28 and 779.64

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Solution

The fourth proportional to 2,534.48, 3,802.28 and 779.64 is: 1,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.48 : 3,802.28 = 779.64 : x
  2. Step 2: Convert to fraction form
    2,534.48/3,802.28 = 779.64/x
  3. Step 3: Cross multiply
    2,534.48x = 3,802.28 × 779.64
  4. Step 4: Simplify right side
    2,534.48x = 2,964,409.58
  5. Step 5: Solve for x
    x = 2,964,409.58/2,534.48
  6. Step 6: Final answer
    x = 1,169.63

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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.