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Finding the Fourth Proportional to 2,310.63, 3,465.97 and 771.63

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Solution

The fourth proportional to 2,310.63, 3,465.97 and 771.63 is: 1,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.63 : 3,465.97 = 771.63 : x
  2. Step 2: Convert to fraction form
    2,310.63/3,465.97 = 771.63/x
  3. Step 3: Cross multiply
    2,310.63x = 3,465.97 × 771.63
  4. Step 4: Simplify right side
    2,310.63x = 2,674,446.43
  5. Step 5: Solve for x
    x = 2,674,446.43/2,310.63
  6. Step 6: Final answer
    x = 1,157.45

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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.