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Finding the Fourth Proportional to 2,841.84, 4,263.30 and 894.60

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Solution

The fourth proportional to 2,841.84, 4,263.30 and 894.60 is: 1,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.84 : 4,263.30 = 894.60 : x
  2. Step 2: Convert to fraction form
    2,841.84/4,263.30 = 894.60/x
  3. Step 3: Cross multiply
    2,841.84x = 4,263.30 × 894.60
  4. Step 4: Simplify right side
    2,841.84x = 3,813,948.18
  5. Step 5: Solve for x
    x = 3,813,948.18/2,841.84
  6. Step 6: Final answer
    x = 1,342.07

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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.