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Finding the Fourth Proportional to 2,342.79, 3,232.04 and 1,410.75

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Solution

The fourth proportional to 2,342.79, 3,232.04 and 1,410.75 is: 1,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.79 : 3,232.04 = 1,410.75 : x
  2. Step 2: Convert to fraction form
    2,342.79/3,232.04 = 1,410.75/x
  3. Step 3: Cross multiply
    2,342.79x = 3,232.04 × 1,410.75
  4. Step 4: Simplify right side
    2,342.79x = 4,559,593.38
  5. Step 5: Solve for x
    x = 4,559,593.38/2,342.79
  6. Step 6: Final answer
    x = 1,946.22

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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.