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Finding the Fourth Proportional to 2,470.36, 3,706.26 and 1,009.24

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Solution

The fourth proportional to 2,470.36, 3,706.26 and 1,009.24 is: 1,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.36 : 3,706.26 = 1,009.24 : x
  2. Step 2: Convert to fraction form
    2,470.36/3,706.26 = 1,009.24/x
  3. Step 3: Cross multiply
    2,470.36x = 3,706.26 × 1,009.24
  4. Step 4: Simplify right side
    2,470.36x = 3,740,505.84
  5. Step 5: Solve for x
    x = 3,740,505.84/2,470.36
  6. Step 6: Final answer
    x = 1,514.15

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