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Finding the Fourth Proportional to 2,343.60, 3,233.90 and 1,349.02

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Solution

The fourth proportional to 2,343.60, 3,233.90 and 1,349.02 is: 1,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.60 : 3,233.90 = 1,349.02 : x
  2. Step 2: Convert to fraction form
    2,343.60/3,233.90 = 1,349.02/x
  3. Step 3: Cross multiply
    2,343.60x = 3,233.90 × 1,349.02
  4. Step 4: Simplify right side
    2,343.60x = 4,362,603.19
  5. Step 5: Solve for x
    x = 4,362,603.19/2,343.60
  6. Step 6: Final answer
    x = 1,861.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.