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Finding the Fourth Proportional to 2,552.92, 3,829.70 and 909.63

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Solution

The fourth proportional to 2,552.92, 3,829.70 and 909.63 is: 1,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.92 : 3,829.70 = 909.63 : x
  2. Step 2: Convert to fraction form
    2,552.92/3,829.70 = 909.63/x
  3. Step 3: Cross multiply
    2,552.92x = 3,829.70 × 909.63
  4. Step 4: Simplify right side
    2,552.92x = 3,483,612.29
  5. Step 5: Solve for x
    x = 3,483,612.29/2,552.92
  6. Step 6: Final answer
    x = 1,364.56

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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.