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Finding the Fourth Proportional to 1,489.23, 2,055.08 and 826.09

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Solution

The fourth proportional to 1,489.23, 2,055.08 and 826.09 is: 1,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.23 : 2,055.08 = 826.09 : x
  2. Step 2: Convert to fraction form
    1,489.23/2,055.08 = 826.09/x
  3. Step 3: Cross multiply
    1,489.23x = 2,055.08 × 826.09
  4. Step 4: Simplify right side
    1,489.23x = 1,697,681.04
  5. Step 5: Solve for x
    x = 1,697,681.04/1,489.23
  6. Step 6: Final answer
    x = 1,139.97

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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.