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Finding the Fourth Proportional to 2,396.46, 3,592.32 and 1,010.16

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Solution

The fourth proportional to 2,396.46, 3,592.32 and 1,010.16 is: 1,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.46 : 3,592.32 = 1,010.16 : x
  2. Step 2: Convert to fraction form
    2,396.46/3,592.32 = 1,010.16/x
  3. Step 3: Cross multiply
    2,396.46x = 3,592.32 × 1,010.16
  4. Step 4: Simplify right side
    2,396.46x = 3,628,817.97
  5. Step 5: Solve for x
    x = 3,628,817.97/2,396.46
  6. Step 6: Final answer
    x = 1,514.24

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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.