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Finding the Fourth Proportional to 2,353.77, 3,532.20 and 892.95

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Solution

The fourth proportional to 2,353.77, 3,532.20 and 892.95 is: 1,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.77 : 3,532.20 = 892.95 : x
  2. Step 2: Convert to fraction form
    2,353.77/3,532.20 = 892.95/x
  3. Step 3: Cross multiply
    2,353.77x = 3,532.20 × 892.95
  4. Step 4: Simplify right side
    2,353.77x = 3,154,077.99
  5. Step 5: Solve for x
    x = 3,154,077.99/2,353.77
  6. Step 6: Final answer
    x = 1,340.01

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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.