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Finding the Fourth Proportional to 2,470.71, 3,706.56 and 1,009.98

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Solution

The fourth proportional to 2,470.71, 3,706.56 and 1,009.98 is: 1,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.71 : 3,706.56 = 1,009.98 : x
  2. Step 2: Convert to fraction form
    2,470.71/3,706.56 = 1,009.98/x
  3. Step 3: Cross multiply
    2,470.71x = 3,706.56 × 1,009.98
  4. Step 4: Simplify right side
    2,470.71x = 3,743,551.47
  5. Step 5: Solve for x
    x = 3,743,551.47/2,470.71
  6. Step 6: Final answer
    x = 1,515.17

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