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Finding the Fourth Proportional to 1,697.86, 2,343.06 and 989.88

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Solution

The fourth proportional to 1,697.86, 2,343.06 and 989.88 is: 1,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.86 : 2,343.06 = 989.88 : x
  2. Step 2: Convert to fraction form
    1,697.86/2,343.06 = 989.88/x
  3. Step 3: Cross multiply
    1,697.86x = 2,343.06 × 989.88
  4. Step 4: Simplify right side
    1,697.86x = 2,319,348.23
  5. Step 5: Solve for x
    x = 2,319,348.23/1,697.86
  6. Step 6: Final answer
    x = 1,366.04

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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.