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Finding the Fourth Proportional to 2,010.66, 3,014.62 and 623.54

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Solution

The fourth proportional to 2,010.66, 3,014.62 and 623.54 is: 934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.66 : 3,014.62 = 623.54 : x
  2. Step 2: Convert to fraction form
    2,010.66/3,014.62 = 623.54/x
  3. Step 3: Cross multiply
    2,010.66x = 3,014.62 × 623.54
  4. Step 4: Simplify right side
    2,010.66x = 1,879,736.15
  5. Step 5: Solve for x
    x = 1,879,736.15/2,010.66
  6. Step 6: Final answer
    x = 934.89

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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.