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Finding the Fourth Proportional to 2,470.25, 3,705.30 and 1,009.41

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Solution

The fourth proportional to 2,470.25, 3,705.30 and 1,009.41 is: 1,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.25 : 3,705.30 = 1,009.41 : x
  2. Step 2: Convert to fraction form
    2,470.25/3,705.30 = 1,009.41/x
  3. Step 3: Cross multiply
    2,470.25x = 3,705.30 × 1,009.41
  4. Step 4: Simplify right side
    2,470.25x = 3,740,166.87
  5. Step 5: Solve for x
    x = 3,740,166.87/2,470.25
  6. Step 6: Final answer
    x = 1,514.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.