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Finding the Fourth Proportional to 1,698.86, 2,344.45 and 942.66

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Solution

The fourth proportional to 1,698.86, 2,344.45 and 942.66 is: 1,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.86 : 2,344.45 = 942.66 : x
  2. Step 2: Convert to fraction form
    1,698.86/2,344.45 = 942.66/x
  3. Step 3: Cross multiply
    1,698.86x = 2,344.45 × 942.66
  4. Step 4: Simplify right side
    1,698.86x = 2,210,016.88
  5. Step 5: Solve for x
    x = 2,210,016.88/1,698.86
  6. Step 6: Final answer
    x = 1,300.88

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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.