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Finding the Fourth Proportional to 2,313.92, 3,470.88 and 1,400

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Solution

The fourth proportional to 2,313.92, 3,470.88 and 1,400 is: 2,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.92 : 3,470.88 = 1,400 : x
  2. Step 2: Convert to fraction form
    2,313.92/3,470.88 = 1,400/x
  3. Step 3: Cross multiply
    2,313.92x = 3,470.88 × 1,400
  4. Step 4: Simplify right side
    2,313.92x = 4,859,232
  5. Step 5: Solve for x
    x = 4,859,232/2,313.92
  6. Step 6: Final answer
    x = 2,100

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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.