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Finding the Fourth Proportional to 2,358.50, 3,537.76 and 627.14

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Solution

The fourth proportional to 2,358.50, 3,537.76 and 627.14 is: 940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.50 : 3,537.76 = 627.14 : x
  2. Step 2: Convert to fraction form
    2,358.50/3,537.76 = 627.14/x
  3. Step 3: Cross multiply
    2,358.50x = 3,537.76 × 627.14
  4. Step 4: Simplify right side
    2,358.50x = 2,218,670.81
  5. Step 5: Solve for x
    x = 2,218,670.81/2,358.50
  6. Step 6: Final answer
    x = 940.71

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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.