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Finding the Fourth Proportional to 1,343.63, 1,849.16 and 1,136.53

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Solution

The fourth proportional to 1,343.63, 1,849.16 and 1,136.53 is: 1,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.63 : 1,849.16 = 1,136.53 : x
  2. Step 2: Convert to fraction form
    1,343.63/1,849.16 = 1,136.53/x
  3. Step 3: Cross multiply
    1,343.63x = 1,849.16 × 1,136.53
  4. Step 4: Simplify right side
    1,343.63x = 2,101,620.57
  5. Step 5: Solve for x
    x = 2,101,620.57/1,343.63
  6. Step 6: Final answer
    x = 1,564.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.