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Finding the Fourth Proportional to 2,374.46, 3,561.69 and 2,008.16

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Solution

The fourth proportional to 2,374.46, 3,561.69 and 2,008.16 is: 3,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.46 : 3,561.69 = 2,008.16 : x
  2. Step 2: Convert to fraction form
    2,374.46/3,561.69 = 2,008.16/x
  3. Step 3: Cross multiply
    2,374.46x = 3,561.69 × 2,008.16
  4. Step 4: Simplify right side
    2,374.46x = 7,152,443.39
  5. Step 5: Solve for x
    x = 7,152,443.39/2,374.46
  6. Step 6: Final answer
    x = 3,012.24

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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.