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Finding the Fourth Proportional to 2,277.84, 3,416.34 and 816.86

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Solution

The fourth proportional to 2,277.84, 3,416.34 and 816.86 is: 1,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.84 : 3,416.34 = 816.86 : x
  2. Step 2: Convert to fraction form
    2,277.84/3,416.34 = 816.86/x
  3. Step 3: Cross multiply
    2,277.84x = 3,416.34 × 816.86
  4. Step 4: Simplify right side
    2,277.84x = 2,790,671.49
  5. Step 5: Solve for x
    x = 2,790,671.49/2,277.84
  6. Step 6: Final answer
    x = 1,225.14

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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.