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Finding the Fourth Proportional to 1,659.24, 2,289.70 and 913.13

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Solution

The fourth proportional to 1,659.24, 2,289.70 and 913.13 is: 1,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.24 : 2,289.70 = 913.13 : x
  2. Step 2: Convert to fraction form
    1,659.24/2,289.70 = 913.13/x
  3. Step 3: Cross multiply
    1,659.24x = 2,289.70 × 913.13
  4. Step 4: Simplify right side
    1,659.24x = 2,090,793.76
  5. Step 5: Solve for x
    x = 2,090,793.76/1,659.24
  6. Step 6: Final answer
    x = 1,260.09

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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.