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Finding the Fourth Proportional to 1,902.64, 2,625.55 and 1,063.18

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Solution

The fourth proportional to 1,902.64, 2,625.55 and 1,063.18 is: 1,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.64 : 2,625.55 = 1,063.18 : x
  2. Step 2: Convert to fraction form
    1,902.64/2,625.55 = 1,063.18/x
  3. Step 3: Cross multiply
    1,902.64x = 2,625.55 × 1,063.18
  4. Step 4: Simplify right side
    1,902.64x = 2,791,432.25
  5. Step 5: Solve for x
    x = 2,791,432.25/1,902.64
  6. Step 6: Final answer
    x = 1,467.14

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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.