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Finding the Fourth Proportional to 2,246.71, 3,101.75 and 1,501.93

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Solution

The fourth proportional to 2,246.71, 3,101.75 and 1,501.93 is: 2,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.71 : 3,101.75 = 1,501.93 : x
  2. Step 2: Convert to fraction form
    2,246.71/3,101.75 = 1,501.93/x
  3. Step 3: Cross multiply
    2,246.71x = 3,101.75 × 1,501.93
  4. Step 4: Simplify right side
    2,246.71x = 4,658,611.38
  5. Step 5: Solve for x
    x = 4,658,611.38/2,246.71
  6. Step 6: Final answer
    x = 2,073.53

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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.