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Finding the Fourth Proportional to 2,470.86, 3,392.55 and 2,406.65

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Solution

The fourth proportional to 2,470.86, 3,392.55 and 2,406.65 is: 3,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.86 : 3,392.55 = 2,406.65 : x
  2. Step 2: Convert to fraction form
    2,470.86/3,392.55 = 2,406.65/x
  3. Step 3: Cross multiply
    2,470.86x = 3,392.55 × 2,406.65
  4. Step 4: Simplify right side
    2,470.86x = 8,164,663.49
  5. Step 5: Solve for x
    x = 8,164,663.49/2,470.86
  6. Step 6: Final answer
    x = 3,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.