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Finding the Fourth Proportional to 2,349.74, 3,242.67 and 1,465.38

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Solution

The fourth proportional to 2,349.74, 3,242.67 and 1,465.38 is: 2,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.74 : 3,242.67 = 1,465.38 : x
  2. Step 2: Convert to fraction form
    2,349.74/3,242.67 = 1,465.38/x
  3. Step 3: Cross multiply
    2,349.74x = 3,242.67 × 1,465.38
  4. Step 4: Simplify right side
    2,349.74x = 4,751,743.76
  5. Step 5: Solve for x
    x = 4,751,743.76/2,349.74
  6. Step 6: Final answer
    x = 2,022.25

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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.