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Finding the Fourth Proportional to 2,470.41, 3,409.09 and 1,475.46

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Solution

The fourth proportional to 2,470.41, 3,409.09 and 1,475.46 is: 2,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.41 : 3,409.09 = 1,475.46 : x
  2. Step 2: Convert to fraction form
    2,470.41/3,409.09 = 1,475.46/x
  3. Step 3: Cross multiply
    2,470.41x = 3,409.09 × 1,475.46
  4. Step 4: Simplify right side
    2,470.41x = 5,029,972.24
  5. Step 5: Solve for x
    x = 5,029,972.24/2,470.41
  6. Step 6: Final answer
    x = 2,036.09

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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.