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Finding the Fourth Proportional to 2,304.13, 3,455.71 and 744.28

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Solution

The fourth proportional to 2,304.13, 3,455.71 and 744.28 is: 1,116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.13 : 3,455.71 = 744.28 : x
  2. Step 2: Convert to fraction form
    2,304.13/3,455.71 = 744.28/x
  3. Step 3: Cross multiply
    2,304.13x = 3,455.71 × 744.28
  4. Step 4: Simplify right side
    2,304.13x = 2,572,015.84
  5. Step 5: Solve for x
    x = 2,572,015.84/2,304.13
  6. Step 6: Final answer
    x = 1,116.26

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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.