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Finding the Fourth Proportional to 1,679.04, 2,518.20 and 705.24

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Solution

The fourth proportional to 1,679.04, 2,518.20 and 705.24 is: 1,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.04 : 2,518.20 = 705.24 : x
  2. Step 2: Convert to fraction form
    1,679.04/2,518.20 = 705.24/x
  3. Step 3: Cross multiply
    1,679.04x = 2,518.20 × 705.24
  4. Step 4: Simplify right side
    1,679.04x = 1,775,935.37
  5. Step 5: Solve for x
    x = 1,775,935.37/1,679.04
  6. Step 6: Final answer
    x = 1,057.71

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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.