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Finding the Fourth Proportional to 2,938.74, 4,399.62 and 2,287.50

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Solution

The fourth proportional to 2,938.74, 4,399.62 and 2,287.50 is: 3,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.74 : 4,399.62 = 2,287.50 : x
  2. Step 2: Convert to fraction form
    2,938.74/4,399.62 = 2,287.50/x
  3. Step 3: Cross multiply
    2,938.74x = 4,399.62 × 2,287.50
  4. Step 4: Simplify right side
    2,938.74x = 10,064,130.75
  5. Step 5: Solve for x
    x = 10,064,130.75/2,938.74
  6. Step 6: Final answer
    x = 3,424.64

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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.