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Finding the Fourth Proportional to 1,824.35, 2,734.22 and 783.14

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Solution

The fourth proportional to 1,824.35, 2,734.22 and 783.14 is: 1,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.35 : 2,734.22 = 783.14 : x
  2. Step 2: Convert to fraction form
    1,824.35/2,734.22 = 783.14/x
  3. Step 3: Cross multiply
    1,824.35x = 2,734.22 × 783.14
  4. Step 4: Simplify right side
    1,824.35x = 2,141,265.34
  5. Step 5: Solve for x
    x = 2,141,265.34/1,824.35
  6. Step 6: Final answer
    x = 1,173.72

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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.