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Finding the Fourth Proportional to 1,698.78, 2,344.52 and 952.59

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Solution

The fourth proportional to 1,698.78, 2,344.52 and 952.59 is: 1,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.78 : 2,344.52 = 952.59 : x
  2. Step 2: Convert to fraction form
    1,698.78/2,344.52 = 952.59/x
  3. Step 3: Cross multiply
    1,698.78x = 2,344.52 × 952.59
  4. Step 4: Simplify right side
    1,698.78x = 2,233,366.31
  5. Step 5: Solve for x
    x = 2,233,366.31/1,698.78
  6. Step 6: Final answer
    x = 1,314.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.