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Finding the Fourth Proportional to 1,698.60, 2,342.30 and 1,343.96

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Solution

The fourth proportional to 1,698.60, 2,342.30 and 1,343.96 is: 1,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.60 : 2,342.30 = 1,343.96 : x
  2. Step 2: Convert to fraction form
    1,698.60/2,342.30 = 1,343.96/x
  3. Step 3: Cross multiply
    1,698.60x = 2,342.30 × 1,343.96
  4. Step 4: Simplify right side
    1,698.60x = 3,147,957.51
  5. Step 5: Solve for x
    x = 3,147,957.51/1,698.60
  6. Step 6: Final answer
    x = 1,853.27

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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.