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Finding the Fourth Proportional to 2,470.37, 3,409.06 and 1,351.31

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Solution

The fourth proportional to 2,470.37, 3,409.06 and 1,351.31 is: 1,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.37 : 3,409.06 = 1,351.31 : x
  2. Step 2: Convert to fraction form
    2,470.37/3,409.06 = 1,351.31/x
  3. Step 3: Cross multiply
    2,470.37x = 3,409.06 × 1,351.31
  4. Step 4: Simplify right side
    2,470.37x = 4,606,679.82
  5. Step 5: Solve for x
    x = 4,606,679.82/2,470.37
  6. Step 6: Final answer
    x = 1,864.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.