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Finding the Fourth Proportional to 1,698.06, 2,344.14 and 1,108.56

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Solution

The fourth proportional to 1,698.06, 2,344.14 and 1,108.56 is: 1,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.06 : 2,344.14 = 1,108.56 : x
  2. Step 2: Convert to fraction form
    1,698.06/2,344.14 = 1,108.56/x
  3. Step 3: Cross multiply
    1,698.06x = 2,344.14 × 1,108.56
  4. Step 4: Simplify right side
    1,698.06x = 2,598,619.84
  5. Step 5: Solve for x
    x = 2,598,619.84/1,698.06
  6. Step 6: Final answer
    x = 1,530.35

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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.