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Finding the Fourth Proportional to 1,698.15, 2,336.81 and 1,502.13

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Solution

The fourth proportional to 1,698.15, 2,336.81 and 1,502.13 is: 2,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.15 : 2,336.81 = 1,502.13 : x
  2. Step 2: Convert to fraction form
    1,698.15/2,336.81 = 1,502.13/x
  3. Step 3: Cross multiply
    1,698.15x = 2,336.81 × 1,502.13
  4. Step 4: Simplify right side
    1,698.15x = 3,510,184.89
  5. Step 5: Solve for x
    x = 3,510,184.89/1,698.15
  6. Step 6: Final answer
    x = 2,067.06

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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.