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Finding the Fourth Proportional to 2,353.06, 3,527.49 and 893.24

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Solution

The fourth proportional to 2,353.06, 3,527.49 and 893.24 is: 1,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.06 : 3,527.49 = 893.24 : x
  2. Step 2: Convert to fraction form
    2,353.06/3,527.49 = 893.24/x
  3. Step 3: Cross multiply
    2,353.06x = 3,527.49 × 893.24
  4. Step 4: Simplify right side
    2,353.06x = 3,150,877.53
  5. Step 5: Solve for x
    x = 3,150,877.53/2,353.06
  6. Step 6: Final answer
    x = 1,339.06

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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.