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Finding the Fourth Proportional to 1,489.04, 2,054.87 and 825.99

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Solution

The fourth proportional to 1,489.04, 2,054.87 and 825.99 is: 1,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.04 : 2,054.87 = 825.99 : x
  2. Step 2: Convert to fraction form
    1,489.04/2,054.87 = 825.99/x
  3. Step 3: Cross multiply
    1,489.04x = 2,054.87 × 825.99
  4. Step 4: Simplify right side
    1,489.04x = 1,697,297.94
  5. Step 5: Solve for x
    x = 1,697,297.94/1,489.04
  6. Step 6: Final answer
    x = 1,139.86

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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.