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Finding the Fourth Proportional to 2,472.06, 3,707.82 and 623.18

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Solution

The fourth proportional to 2,472.06, 3,707.82 and 623.18 is: 934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.06 : 3,707.82 = 623.18 : x
  2. Step 2: Convert to fraction form
    2,472.06/3,707.82 = 623.18/x
  3. Step 3: Cross multiply
    2,472.06x = 3,707.82 × 623.18
  4. Step 4: Simplify right side
    2,472.06x = 2,310,620.73
  5. Step 5: Solve for x
    x = 2,310,620.73/2,472.06
  6. Step 6: Final answer
    x = 934.69

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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.