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Finding the Fourth Proportional to 2,136.48, 3,204.36 and 597.12

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Solution

The fourth proportional to 2,136.48, 3,204.36 and 597.12 is: 895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.48 : 3,204.36 = 597.12 : x
  2. Step 2: Convert to fraction form
    2,136.48/3,204.36 = 597.12/x
  3. Step 3: Cross multiply
    2,136.48x = 3,204.36 × 597.12
  4. Step 4: Simplify right side
    2,136.48x = 1,913,387.44
  5. Step 5: Solve for x
    x = 1,913,387.44/2,136.48
  6. Step 6: Final answer
    x = 895.58

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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.