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Finding the Fourth Proportional to 2,524.93, 3,787.58 and 770.08

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Solution

The fourth proportional to 2,524.93, 3,787.58 and 770.08 is: 1,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.93 : 3,787.58 = 770.08 : x
  2. Step 2: Convert to fraction form
    2,524.93/3,787.58 = 770.08/x
  3. Step 3: Cross multiply
    2,524.93x = 3,787.58 × 770.08
  4. Step 4: Simplify right side
    2,524.93x = 2,916,749.08
  5. Step 5: Solve for x
    x = 2,916,749.08/2,524.93
  6. Step 6: Final answer
    x = 1,155.18

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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.