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Finding the Fourth Proportional to 2,674.74, 4,010.67 and 1,030.08

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Solution

The fourth proportional to 2,674.74, 4,010.67 and 1,030.08 is: 1,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.74 : 4,010.67 = 1,030.08 : x
  2. Step 2: Convert to fraction form
    2,674.74/4,010.67 = 1,030.08/x
  3. Step 3: Cross multiply
    2,674.74x = 4,010.67 × 1,030.08
  4. Step 4: Simplify right side
    2,674.74x = 4,131,310.95
  5. Step 5: Solve for x
    x = 4,131,310.95/2,674.74
  6. Step 6: Final answer
    x = 1,544.57

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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.