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Finding the Fourth Proportional to 2,636.46, 3,953.51 and 787.08

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Solution

The fourth proportional to 2,636.46, 3,953.51 and 787.08 is: 1,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.46 : 3,953.51 = 787.08 : x
  2. Step 2: Convert to fraction form
    2,636.46/3,953.51 = 787.08/x
  3. Step 3: Cross multiply
    2,636.46x = 3,953.51 × 787.08
  4. Step 4: Simplify right side
    2,636.46x = 3,111,724.72
  5. Step 5: Solve for x
    x = 3,111,724.72/2,636.46
  6. Step 6: Final answer
    x = 1,180.27

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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.