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Finding the Fourth Proportional to 2,523.68, 3,484.88 and 1,698.08

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Solution

The fourth proportional to 2,523.68, 3,484.88 and 1,698.08 is: 2,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.68 : 3,484.88 = 1,698.08 : x
  2. Step 2: Convert to fraction form
    2,523.68/3,484.88 = 1,698.08/x
  3. Step 3: Cross multiply
    2,523.68x = 3,484.88 × 1,698.08
  4. Step 4: Simplify right side
    2,523.68x = 5,917,605.03
  5. Step 5: Solve for x
    x = 5,917,605.03/2,523.68
  6. Step 6: Final answer
    x = 2,344.83

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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.