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Finding the Fourth Proportional to 1,697.98, 2,325.65 and 1,598.35

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Solution

The fourth proportional to 1,697.98, 2,325.65 and 1,598.35 is: 2,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.98 : 2,325.65 = 1,598.35 : x
  2. Step 2: Convert to fraction form
    1,697.98/2,325.65 = 1,598.35/x
  3. Step 3: Cross multiply
    1,697.98x = 2,325.65 × 1,598.35
  4. Step 4: Simplify right side
    1,697.98x = 3,717,202.68
  5. Step 5: Solve for x
    x = 3,717,202.68/1,697.98
  6. Step 6: Final answer
    x = 2,189.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.