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Finding the Fourth Proportional to 2,495.68, 3,725.36 and 2,290.24

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Solution

The fourth proportional to 2,495.68, 3,725.36 and 2,290.24 is: 3,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.68 : 3,725.36 = 2,290.24 : x
  2. Step 2: Convert to fraction form
    2,495.68/3,725.36 = 2,290.24/x
  3. Step 3: Cross multiply
    2,495.68x = 3,725.36 × 2,290.24
  4. Step 4: Simplify right side
    2,495.68x = 8,531,968.49
  5. Step 5: Solve for x
    x = 8,531,968.49/2,495.68
  6. Step 6: Final answer
    x = 3,418.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.