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Finding the Fourth Proportional to 1,659.79, 2,290.57 and 913.78

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Solution

The fourth proportional to 1,659.79, 2,290.57 and 913.78 is: 1,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.79 : 2,290.57 = 913.78 : x
  2. Step 2: Convert to fraction form
    1,659.79/2,290.57 = 913.78/x
  3. Step 3: Cross multiply
    1,659.79x = 2,290.57 × 913.78
  4. Step 4: Simplify right side
    1,659.79x = 2,093,077.05
  5. Step 5: Solve for x
    x = 2,093,077.05/1,659.79
  6. Step 6: Final answer
    x = 1,261.05

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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.