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Finding the Fourth Proportional to 2,838.84, 4,258.28 and 786.84

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Solution

The fourth proportional to 2,838.84, 4,258.28 and 786.84 is: 1,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.84 : 4,258.28 = 786.84 : x
  2. Step 2: Convert to fraction form
    2,838.84/4,258.28 = 786.84/x
  3. Step 3: Cross multiply
    2,838.84x = 4,258.28 × 786.84
  4. Step 4: Simplify right side
    2,838.84x = 3,350,585.04
  5. Step 5: Solve for x
    x = 3,350,585.04/2,838.84
  6. Step 6: Final answer
    x = 1,180.27

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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.