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Finding the Fourth Proportional to 2,356.49, 3,515.60 and 2,241.68

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Solution

The fourth proportional to 2,356.49, 3,515.60 and 2,241.68 is: 3,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.49 : 3,515.60 = 2,241.68 : x
  2. Step 2: Convert to fraction form
    2,356.49/3,515.60 = 2,241.68/x
  3. Step 3: Cross multiply
    2,356.49x = 3,515.60 × 2,241.68
  4. Step 4: Simplify right side
    2,356.49x = 7,880,838.23
  5. Step 5: Solve for x
    x = 7,880,838.23/2,356.49
  6. Step 6: Final answer
    x = 3,344.31

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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.