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Finding the Fourth Proportional to 1,698.89, 2,344.45 and 952.85

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Solution

The fourth proportional to 1,698.89, 2,344.45 and 952.85 is: 1,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.89 : 2,344.45 = 952.85 : x
  2. Step 2: Convert to fraction form
    1,698.89/2,344.45 = 952.85/x
  3. Step 3: Cross multiply
    1,698.89x = 2,344.45 × 952.85
  4. Step 4: Simplify right side
    1,698.89x = 2,233,909.18
  5. Step 5: Solve for x
    x = 2,233,909.18/1,698.89
  6. Step 6: Final answer
    x = 1,314.92

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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.