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Finding the Fourth Proportional to 2,317, 3,473.62 and 1,342

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Solution

The fourth proportional to 2,317, 3,473.62 and 1,342 is: 2,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317 : 3,473.62 = 1,342 : x
  2. Step 2: Convert to fraction form
    2,317/3,473.62 = 1,342/x
  3. Step 3: Cross multiply
    2,317x = 3,473.62 × 1,342
  4. Step 4: Simplify right side
    2,317x = 4,661,598.04
  5. Step 5: Solve for x
    x = 4,661,598.04/2,317
  6. Step 6: Final answer
    x = 2,011.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.