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Finding the Fourth Proportional to 1,659.76, 2,288.40 and 1,266.16

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Solution

The fourth proportional to 1,659.76, 2,288.40 and 1,266.16 is: 1,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.76 : 2,288.40 = 1,266.16 : x
  2. Step 2: Convert to fraction form
    1,659.76/2,288.40 = 1,266.16/x
  3. Step 3: Cross multiply
    1,659.76x = 2,288.40 × 1,266.16
  4. Step 4: Simplify right side
    1,659.76x = 2,897,480.54
  5. Step 5: Solve for x
    x = 2,897,480.54/1,659.76
  6. Step 6: Final answer
    x = 1,745.72

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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.