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Finding the Fourth Proportional to 1,902.96, 2,625.82 and 1,116.86

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Solution

The fourth proportional to 1,902.96, 2,625.82 and 1,116.86 is: 1,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.96 : 2,625.82 = 1,116.86 : x
  2. Step 2: Convert to fraction form
    1,902.96/2,625.82 = 1,116.86/x
  3. Step 3: Cross multiply
    1,902.96x = 2,625.82 × 1,116.86
  4. Step 4: Simplify right side
    1,902.96x = 2,932,657.40
  5. Step 5: Solve for x
    x = 2,932,657.40/1,902.96
  6. Step 6: Final answer
    x = 1,541.10

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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.