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Finding the Fourth Proportional to 2,358.38, 3,537.47 and 627.01

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Solution

The fourth proportional to 2,358.38, 3,537.47 and 627.01 is: 940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.38 : 3,537.47 = 627.01 : x
  2. Step 2: Convert to fraction form
    2,358.38/3,537.47 = 627.01/x
  3. Step 3: Cross multiply
    2,358.38x = 3,537.47 × 627.01
  4. Step 4: Simplify right side
    2,358.38x = 2,218,021.79
  5. Step 5: Solve for x
    x = 2,218,021.79/2,358.38
  6. Step 6: Final answer
    x = 940.48

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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.