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Finding the Fourth Proportional to 1,627.23, 2,438.74 and 934.28

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Solution

The fourth proportional to 1,627.23, 2,438.74 and 934.28 is: 1,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.23 : 2,438.74 = 934.28 : x
  2. Step 2: Convert to fraction form
    1,627.23/2,438.74 = 934.28/x
  3. Step 3: Cross multiply
    1,627.23x = 2,438.74 × 934.28
  4. Step 4: Simplify right side
    1,627.23x = 2,278,466.01
  5. Step 5: Solve for x
    x = 2,278,466.01/1,627.23
  6. Step 6: Final answer
    x = 1,400.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.