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Finding the Fourth Proportional to 2,136.47, 3,204.71 and 597.47

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Solution

The fourth proportional to 2,136.47, 3,204.71 and 597.47 is: 896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.47 : 3,204.71 = 597.47 : x
  2. Step 2: Convert to fraction form
    2,136.47/3,204.71 = 597.47/x
  3. Step 3: Cross multiply
    2,136.47x = 3,204.71 × 597.47
  4. Step 4: Simplify right side
    2,136.47x = 1,914,699.07
  5. Step 5: Solve for x
    x = 1,914,699.07/2,136.47
  6. Step 6: Final answer
    x = 896.20

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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.