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Finding the Fourth Proportional to 2,470.97, 3,706.65 and 716.00

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Solution

The fourth proportional to 2,470.97, 3,706.65 and 716.00 is: 1,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.97 : 3,706.65 = 716.00 : x
  2. Step 2: Convert to fraction form
    2,470.97/3,706.65 = 716.00/x
  3. Step 3: Cross multiply
    2,470.97x = 3,706.65 × 716.00
  4. Step 4: Simplify right side
    2,470.97x = 2,653,939.29
  5. Step 5: Solve for x
    x = 2,653,939.29/2,470.97
  6. Step 6: Final answer
    x = 1,074.05

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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.