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Finding the Fourth Proportional to 2,334.44, 3,501.44 and 774.38

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Solution

The fourth proportional to 2,334.44, 3,501.44 and 774.38 is: 1,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.44 : 3,501.44 = 774.38 : x
  2. Step 2: Convert to fraction form
    2,334.44/3,501.44 = 774.38/x
  3. Step 3: Cross multiply
    2,334.44x = 3,501.44 × 774.38
  4. Step 4: Simplify right side
    2,334.44x = 2,711,445.11
  5. Step 5: Solve for x
    x = 2,711,445.11/2,334.44
  6. Step 6: Final answer
    x = 1,161.50

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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.