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Finding the Fourth Proportional to 2,358.55, 3,536.47 and 2,092.06

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Solution

The fourth proportional to 2,358.55, 3,536.47 and 2,092.06 is: 3,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.55 : 3,536.47 = 2,092.06 : x
  2. Step 2: Convert to fraction form
    2,358.55/3,536.47 = 2,092.06/x
  3. Step 3: Cross multiply
    2,358.55x = 3,536.47 × 2,092.06
  4. Step 4: Simplify right side
    2,358.55x = 7,398,507.43
  5. Step 5: Solve for x
    x = 7,398,507.43/2,358.55
  6. Step 6: Final answer
    x = 3,136.89

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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.