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Finding the Fourth Proportional to 1,919.84, 2,880.90 and 824.18

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Solution

The fourth proportional to 1,919.84, 2,880.90 and 824.18 is: 1,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.84 : 2,880.90 = 824.18 : x
  2. Step 2: Convert to fraction form
    1,919.84/2,880.90 = 824.18/x
  3. Step 3: Cross multiply
    1,919.84x = 2,880.90 × 824.18
  4. Step 4: Simplify right side
    1,919.84x = 2,374,365.76
  5. Step 5: Solve for x
    x = 2,374,365.76/1,919.84
  6. Step 6: Final answer
    x = 1,236.76

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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.