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Finding the Fourth Proportional to 2,280.16, 3,420.82 and 636.71

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Solution

The fourth proportional to 2,280.16, 3,420.82 and 636.71 is: 955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.16 : 3,420.82 = 636.71 : x
  2. Step 2: Convert to fraction form
    2,280.16/3,420.82 = 636.71/x
  3. Step 3: Cross multiply
    2,280.16x = 3,420.82 × 636.71
  4. Step 4: Simplify right side
    2,280.16x = 2,178,070.30
  5. Step 5: Solve for x
    x = 2,178,070.30/2,280.16
  6. Step 6: Final answer
    x = 955.23

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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.