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Finding the Fourth Proportional to 2,470.54, 3,409.41 and 2,359.78

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Solution

The fourth proportional to 2,470.54, 3,409.41 and 2,359.78 is: 3,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.54 : 3,409.41 = 2,359.78 : x
  2. Step 2: Convert to fraction form
    2,470.54/3,409.41 = 2,359.78/x
  3. Step 3: Cross multiply
    2,470.54x = 3,409.41 × 2,359.78
  4. Step 4: Simplify right side
    2,470.54x = 8,045,457.53
  5. Step 5: Solve for x
    x = 8,045,457.53/2,470.54
  6. Step 6: Final answer
    x = 3,256.56

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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.