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Finding the Fourth Proportional to 2,164.92, 3,245.64 and 777.48

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Solution

The fourth proportional to 2,164.92, 3,245.64 and 777.48 is: 1,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.92 : 3,245.64 = 777.48 : x
  2. Step 2: Convert to fraction form
    2,164.92/3,245.64 = 777.48/x
  3. Step 3: Cross multiply
    2,164.92x = 3,245.64 × 777.48
  4. Step 4: Simplify right side
    2,164.92x = 2,523,420.19
  5. Step 5: Solve for x
    x = 2,523,420.19/2,164.92
  6. Step 6: Final answer
    x = 1,165.60

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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.