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Finding the Fourth Proportional to 2,272.84, 3,409.70 and 886.12

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Solution

The fourth proportional to 2,272.84, 3,409.70 and 886.12 is: 1,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.84 : 3,409.70 = 886.12 : x
  2. Step 2: Convert to fraction form
    2,272.84/3,409.70 = 886.12/x
  3. Step 3: Cross multiply
    2,272.84x = 3,409.70 × 886.12
  4. Step 4: Simplify right side
    2,272.84x = 3,021,403.36
  5. Step 5: Solve for x
    x = 3,021,403.36/2,272.84
  6. Step 6: Final answer
    x = 1,329.35

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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.