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Finding the Fourth Proportional to 2,353.60, 3,530.40 and 2,313.10

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Solution

The fourth proportional to 2,353.60, 3,530.40 and 2,313.10 is: 3,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.60 : 3,530.40 = 2,313.10 : x
  2. Step 2: Convert to fraction form
    2,353.60/3,530.40 = 2,313.10/x
  3. Step 3: Cross multiply
    2,353.60x = 3,530.40 × 2,313.10
  4. Step 4: Simplify right side
    2,353.60x = 8,166,168.24
  5. Step 5: Solve for x
    x = 8,166,168.24/2,353.60
  6. Step 6: Final answer
    x = 3,469.65

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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.