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Finding the Fourth Proportional to 2,636.94, 3,955.68 and 787.74

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Solution

The fourth proportional to 2,636.94, 3,955.68 and 787.74 is: 1,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.94 : 3,955.68 = 787.74 : x
  2. Step 2: Convert to fraction form
    2,636.94/3,955.68 = 787.74/x
  3. Step 3: Cross multiply
    2,636.94x = 3,955.68 × 787.74
  4. Step 4: Simplify right side
    2,636.94x = 3,116,047.36
  5. Step 5: Solve for x
    x = 3,116,047.36/2,636.94
  6. Step 6: Final answer
    x = 1,181.69

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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.