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Finding the Fourth Proportional to 2,353.76, 3,530.30 and 892.91

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Solution

The fourth proportional to 2,353.76, 3,530.30 and 892.91 is: 1,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.76 : 3,530.30 = 892.91 : x
  2. Step 2: Convert to fraction form
    2,353.76/3,530.30 = 892.91/x
  3. Step 3: Cross multiply
    2,353.76x = 3,530.30 × 892.91
  4. Step 4: Simplify right side
    2,353.76x = 3,152,240.83
  5. Step 5: Solve for x
    x = 3,152,240.83/2,353.76
  6. Step 6: Final answer
    x = 1,339.24

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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.