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Finding the Fourth Proportional to 1,397.12, 2,094.26 and 617.54

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Solution

The fourth proportional to 1,397.12, 2,094.26 and 617.54 is: 925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.12 : 2,094.26 = 617.54 : x
  2. Step 2: Convert to fraction form
    1,397.12/2,094.26 = 617.54/x
  3. Step 3: Cross multiply
    1,397.12x = 2,094.26 × 617.54
  4. Step 4: Simplify right side
    1,397.12x = 1,293,287.54
  5. Step 5: Solve for x
    x = 1,293,287.54/1,397.12
  6. Step 6: Final answer
    x = 925.68

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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.