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Finding the Fourth Proportional to 2,971.94, 4,101.71 and 1,712.76

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Solution

The fourth proportional to 2,971.94, 4,101.71 and 1,712.76 is: 2,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.94 : 4,101.71 = 1,712.76 : x
  2. Step 2: Convert to fraction form
    2,971.94/4,101.71 = 1,712.76/x
  3. Step 3: Cross multiply
    2,971.94x = 4,101.71 × 1,712.76
  4. Step 4: Simplify right side
    2,971.94x = 7,025,224.31
  5. Step 5: Solve for x
    x = 7,025,224.31/2,971.94
  6. Step 6: Final answer
    x = 2,363.85

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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.