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Finding the Fourth Proportional to 2,136.49, 3,204.37 and 597.13

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Solution

The fourth proportional to 2,136.49, 3,204.37 and 597.13 is: 895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.49 : 3,204.37 = 597.13 : x
  2. Step 2: Convert to fraction form
    2,136.49/3,204.37 = 597.13/x
  3. Step 3: Cross multiply
    2,136.49x = 3,204.37 × 597.13
  4. Step 4: Simplify right side
    2,136.49x = 1,913,425.46
  5. Step 5: Solve for x
    x = 1,913,425.46/2,136.49
  6. Step 6: Final answer
    x = 895.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.