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Finding the Fourth Proportional to 2,462.18, 3,693.26 and 1,001

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Solution

The fourth proportional to 2,462.18, 3,693.26 and 1,001 is: 1,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.18 : 3,693.26 = 1,001 : x
  2. Step 2: Convert to fraction form
    2,462.18/3,693.26 = 1,001/x
  3. Step 3: Cross multiply
    2,462.18x = 3,693.26 × 1,001
  4. Step 4: Simplify right side
    2,462.18x = 3,696,953.26
  5. Step 5: Solve for x
    x = 3,696,953.26/2,462.18
  6. Step 6: Final answer
    x = 1,501.50

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Double scale
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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.