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Finding the Fourth Proportional to 2,636.70, 3,955.29 and 787.71

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Solution

The fourth proportional to 2,636.70, 3,955.29 and 787.71 is: 1,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.70 : 3,955.29 = 787.71 : x
  2. Step 2: Convert to fraction form
    2,636.70/3,955.29 = 787.71/x
  3. Step 3: Cross multiply
    2,636.70x = 3,955.29 × 787.71
  4. Step 4: Simplify right side
    2,636.70x = 3,115,621.49
  5. Step 5: Solve for x
    x = 3,115,621.49/2,636.70
  6. Step 6: Final answer
    x = 1,181.64

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1.5x scale

Why These Related Problems?

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