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Finding the Fourth Proportional to 2,470.50, 3,409.19 and 1,351.49

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Solution

The fourth proportional to 2,470.50, 3,409.19 and 1,351.49 is: 1,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.50 : 3,409.19 = 1,351.49 : x
  2. Step 2: Convert to fraction form
    2,470.50/3,409.19 = 1,351.49/x
  3. Step 3: Cross multiply
    2,470.50x = 3,409.19 × 1,351.49
  4. Step 4: Simplify right side
    2,470.50x = 4,607,467.46
  5. Step 5: Solve for x
    x = 4,607,467.46/2,470.50
  6. Step 6: Final answer
    x = 1,864.99

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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.