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Finding the Fourth Proportional to 1,697.68, 2,548.12 and 967.12

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Solution

The fourth proportional to 1,697.68, 2,548.12 and 967.12 is: 1,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.68 : 2,548.12 = 967.12 : x
  2. Step 2: Convert to fraction form
    1,697.68/2,548.12 = 967.12/x
  3. Step 3: Cross multiply
    1,697.68x = 2,548.12 × 967.12
  4. Step 4: Simplify right side
    1,697.68x = 2,464,337.81
  5. Step 5: Solve for x
    x = 2,464,337.81/1,697.68
  6. Step 6: Final answer
    x = 1,451.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.