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Finding the Fourth Proportional to 1,657.03, 2,286.71 and 911.05

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Solution

The fourth proportional to 1,657.03, 2,286.71 and 911.05 is: 1,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.03 : 2,286.71 = 911.05 : x
  2. Step 2: Convert to fraction form
    1,657.03/2,286.71 = 911.05/x
  3. Step 3: Cross multiply
    1,657.03x = 2,286.71 × 911.05
  4. Step 4: Simplify right side
    1,657.03x = 2,083,307.15
  5. Step 5: Solve for x
    x = 2,083,307.15/1,657.03
  6. Step 6: Final answer
    x = 1,257.25

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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.