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Finding the Fourth Proportional to 2,314.92, 3,472.38 and 1,401

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Solution

The fourth proportional to 2,314.92, 3,472.38 and 1,401 is: 2,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.92 : 3,472.38 = 1,401 : x
  2. Step 2: Convert to fraction form
    2,314.92/3,472.38 = 1,401/x
  3. Step 3: Cross multiply
    2,314.92x = 3,472.38 × 1,401
  4. Step 4: Simplify right side
    2,314.92x = 4,864,804.38
  5. Step 5: Solve for x
    x = 4,864,804.38/2,314.92
  6. Step 6: Final answer
    x = 2,101.50

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1.5x scale

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.