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Finding the Fourth Proportional to 2,470.11, 3,706.25 and 930.75

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Solution

The fourth proportional to 2,470.11, 3,706.25 and 930.75 is: 1,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.11 : 3,706.25 = 930.75 : x
  2. Step 2: Convert to fraction form
    2,470.11/3,706.25 = 930.75/x
  3. Step 3: Cross multiply
    2,470.11x = 3,706.25 × 930.75
  4. Step 4: Simplify right side
    2,470.11x = 3,449,587.53
  5. Step 5: Solve for x
    x = 3,449,587.53/2,470.11
  6. Step 6: Final answer
    x = 1,396.53

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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.