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Finding the Fourth Proportional to 1,824.90, 2,735.46 and 784.05

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Solution

The fourth proportional to 1,824.90, 2,735.46 and 784.05 is: 1,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.90 : 2,735.46 = 784.05 : x
  2. Step 2: Convert to fraction form
    1,824.90/2,735.46 = 784.05/x
  3. Step 3: Cross multiply
    1,824.90x = 2,735.46 × 784.05
  4. Step 4: Simplify right side
    1,824.90x = 2,144,737.41
  5. Step 5: Solve for x
    x = 2,144,737.41/1,824.90
  6. Step 6: Final answer
    x = 1,175.26

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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.