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Finding the Fourth Proportional to 1,698.42, 2,342.30 and 1,226.18

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Solution

The fourth proportional to 1,698.42, 2,342.30 and 1,226.18 is: 1,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.42 : 2,342.30 = 1,226.18 : x
  2. Step 2: Convert to fraction form
    1,698.42/2,342.30 = 1,226.18/x
  3. Step 3: Cross multiply
    1,698.42x = 2,342.30 × 1,226.18
  4. Step 4: Simplify right side
    1,698.42x = 2,872,081.41
  5. Step 5: Solve for x
    x = 2,872,081.41/1,698.42
  6. Step 6: Final answer
    x = 1,691.03

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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.