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Finding the Fourth Proportional to 1,698.94, 2,344.58 and 1,202.47

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Solution

The fourth proportional to 1,698.94, 2,344.58 and 1,202.47 is: 1,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.94 : 2,344.58 = 1,202.47 : x
  2. Step 2: Convert to fraction form
    1,698.94/2,344.58 = 1,202.47/x
  3. Step 3: Cross multiply
    1,698.94x = 2,344.58 × 1,202.47
  4. Step 4: Simplify right side
    1,698.94x = 2,819,287.11
  5. Step 5: Solve for x
    x = 2,819,287.11/1,698.94
  6. Step 6: Final answer
    x = 1,659.44

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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.