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Finding the Fourth Proportional to 2,353.59, 3,528.16 and 892.35

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Solution

The fourth proportional to 2,353.59, 3,528.16 and 892.35 is: 1,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.59 : 3,528.16 = 892.35 : x
  2. Step 2: Convert to fraction form
    2,353.59/3,528.16 = 892.35/x
  3. Step 3: Cross multiply
    2,353.59x = 3,528.16 × 892.35
  4. Step 4: Simplify right side
    2,353.59x = 3,148,351.35
  5. Step 5: Solve for x
    x = 3,148,351.35/2,353.59
  6. Step 6: Final answer
    x = 1,337.68

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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.