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Finding the Fourth Proportional to 1,697.90, 2,343.21 and 1,110.02

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Solution

The fourth proportional to 1,697.90, 2,343.21 and 1,110.02 is: 1,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.90 : 2,343.21 = 1,110.02 : x
  2. Step 2: Convert to fraction form
    1,697.90/2,343.21 = 1,110.02/x
  3. Step 3: Cross multiply
    1,697.90x = 2,343.21 × 1,110.02
  4. Step 4: Simplify right side
    1,697.90x = 2,601,009.96
  5. Step 5: Solve for x
    x = 2,601,009.96/1,697.90
  6. Step 6: Final answer
    x = 1,531.90

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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.