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Finding the Fourth Proportional to 1,698.50, 2,343.19 and 1,201.57

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Solution

The fourth proportional to 1,698.50, 2,343.19 and 1,201.57 is: 1,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.50 : 2,343.19 = 1,201.57 : x
  2. Step 2: Convert to fraction form
    1,698.50/2,343.19 = 1,201.57/x
  3. Step 3: Cross multiply
    1,698.50x = 2,343.19 × 1,201.57
  4. Step 4: Simplify right side
    1,698.50x = 2,815,506.81
  5. Step 5: Solve for x
    x = 2,815,506.81/1,698.50
  6. Step 6: Final answer
    x = 1,657.64

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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.