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Finding the Fourth Proportional to 2,349.45, 3,242.02 and 1,405.05

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Solution

The fourth proportional to 2,349.45, 3,242.02 and 1,405.05 is: 1,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.45 : 3,242.02 = 1,405.05 : x
  2. Step 2: Convert to fraction form
    2,349.45/3,242.02 = 1,405.05/x
  3. Step 3: Cross multiply
    2,349.45x = 3,242.02 × 1,405.05
  4. Step 4: Simplify right side
    2,349.45x = 4,555,193.18
  5. Step 5: Solve for x
    x = 4,555,193.18/2,349.45
  6. Step 6: Final answer
    x = 1,938.83

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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.