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Finding the Fourth Proportional to 1,698.52, 2,343.83 and 952.35

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Solution

The fourth proportional to 1,698.52, 2,343.83 and 952.35 is: 1,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.52 : 2,343.83 = 952.35 : x
  2. Step 2: Convert to fraction form
    1,698.52/2,343.83 = 952.35/x
  3. Step 3: Cross multiply
    1,698.52x = 2,343.83 × 952.35
  4. Step 4: Simplify right side
    1,698.52x = 2,232,146.50
  5. Step 5: Solve for x
    x = 2,232,146.50/1,698.52
  6. Step 6: Final answer
    x = 1,314.17

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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.