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Finding the Fourth Proportional to 2,525.18, 3,787.78 and 770.18

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Solution

The fourth proportional to 2,525.18, 3,787.78 and 770.18 is: 1,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.18 : 3,787.78 = 770.18 : x
  2. Step 2: Convert to fraction form
    2,525.18/3,787.78 = 770.18/x
  3. Step 3: Cross multiply
    2,525.18x = 3,787.78 × 770.18
  4. Step 4: Simplify right side
    2,525.18x = 2,917,272.40
  5. Step 5: Solve for x
    x = 2,917,272.40/2,525.18
  6. Step 6: Final answer
    x = 1,155.27

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