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Finding the Fourth Proportional to 2,313.96, 3,470.94 and 946.92

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Solution

The fourth proportional to 2,313.96, 3,470.94 and 946.92 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.96 : 3,470.94 = 946.92 : x
  2. Step 2: Convert to fraction form
    2,313.96/3,470.94 = 946.92/x
  3. Step 3: Cross multiply
    2,313.96x = 3,470.94 × 946.92
  4. Step 4: Simplify right side
    2,313.96x = 3,286,702.50
  5. Step 5: Solve for x
    x = 3,286,702.50/2,313.96
  6. Step 6: Final answer
    x = 1,420.38

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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.