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Finding the Fourth Proportional to 1,698.54, 2,342.82 and 1,559.18

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Solution

The fourth proportional to 1,698.54, 2,342.82 and 1,559.18 is: 2,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.54 : 2,342.82 = 1,559.18 : x
  2. Step 2: Convert to fraction form
    1,698.54/2,342.82 = 1,559.18/x
  3. Step 3: Cross multiply
    1,698.54x = 2,342.82 × 1,559.18
  4. Step 4: Simplify right side
    1,698.54x = 3,652,878.09
  5. Step 5: Solve for x
    x = 3,652,878.09/1,698.54
  6. Step 6: Final answer
    x = 2,150.60

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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.