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Finding the Fourth Proportional to 1,679.08, 2,316.18 and 1,057

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Solution

The fourth proportional to 1,679.08, 2,316.18 and 1,057 is: 1,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.08 : 2,316.18 = 1,057 : x
  2. Step 2: Convert to fraction form
    1,679.08/2,316.18 = 1,057/x
  3. Step 3: Cross multiply
    1,679.08x = 2,316.18 × 1,057
  4. Step 4: Simplify right side
    1,679.08x = 2,448,202.26
  5. Step 5: Solve for x
    x = 2,448,202.26/1,679.08
  6. Step 6: Final answer
    x = 1,458.06

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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.