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Finding the Fourth Proportional to 2,304.44, 3,457.15 and 744.53

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Solution

The fourth proportional to 2,304.44, 3,457.15 and 744.53 is: 1,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.44 : 3,457.15 = 744.53 : x
  2. Step 2: Convert to fraction form
    2,304.44/3,457.15 = 744.53/x
  3. Step 3: Cross multiply
    2,304.44x = 3,457.15 × 744.53
  4. Step 4: Simplify right side
    2,304.44x = 2,573,948.17
  5. Step 5: Solve for x
    x = 2,573,948.17/2,304.44
  6. Step 6: Final answer
    x = 1,116.95

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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.