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Finding the Fourth Proportional to 2,136.59, 3,204.49 and 904.87

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Solution

The fourth proportional to 2,136.59, 3,204.49 and 904.87 is: 1,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.59 : 3,204.49 = 904.87 : x
  2. Step 2: Convert to fraction form
    2,136.59/3,204.49 = 904.87/x
  3. Step 3: Cross multiply
    2,136.59x = 3,204.49 × 904.87
  4. Step 4: Simplify right side
    2,136.59x = 2,899,638.34
  5. Step 5: Solve for x
    x = 2,899,638.34/2,136.59
  6. Step 6: Final answer
    x = 1,357.13

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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.