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Finding the Fourth Proportional to 2,466.14, 3,698.66 and 710.75

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Solution

The fourth proportional to 2,466.14, 3,698.66 and 710.75 is: 1,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.14 : 3,698.66 = 710.75 : x
  2. Step 2: Convert to fraction form
    2,466.14/3,698.66 = 710.75/x
  3. Step 3: Cross multiply
    2,466.14x = 3,698.66 × 710.75
  4. Step 4: Simplify right side
    2,466.14x = 2,628,838.82
  5. Step 5: Solve for x
    x = 2,628,838.82/2,466.14
  6. Step 6: Final answer
    x = 1,065.97

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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.