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Finding the Fourth Proportional to 1,773.61, 2,659.27 and 849.14

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Solution

The fourth proportional to 1,773.61, 2,659.27 and 849.14 is: 1,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.61 : 2,659.27 = 849.14 : x
  2. Step 2: Convert to fraction form
    1,773.61/2,659.27 = 849.14/x
  3. Step 3: Cross multiply
    1,773.61x = 2,659.27 × 849.14
  4. Step 4: Simplify right side
    1,773.61x = 2,258,088.28
  5. Step 5: Solve for x
    x = 2,258,088.28/1,773.61
  6. Step 6: Final answer
    x = 1,273.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.