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Finding the Fourth Proportional to 1,659.22, 2,289.66 and 913.18

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Solution

The fourth proportional to 1,659.22, 2,289.66 and 913.18 is: 1,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.22 : 2,289.66 = 913.18 : x
  2. Step 2: Convert to fraction form
    1,659.22/2,289.66 = 913.18/x
  3. Step 3: Cross multiply
    1,659.22x = 2,289.66 × 913.18
  4. Step 4: Simplify right side
    1,659.22x = 2,090,871.72
  5. Step 5: Solve for x
    x = 2,090,871.72/1,659.22
  6. Step 6: Final answer
    x = 1,260.15

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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.