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Finding the Fourth Proportional to 1,719.17, 2,577.80 and 794.21

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Solution

The fourth proportional to 1,719.17, 2,577.80 and 794.21 is: 1,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.17 : 2,577.80 = 794.21 : x
  2. Step 2: Convert to fraction form
    1,719.17/2,577.80 = 794.21/x
  3. Step 3: Cross multiply
    1,719.17x = 2,577.80 × 794.21
  4. Step 4: Simplify right side
    1,719.17x = 2,047,322.97
  5. Step 5: Solve for x
    x = 2,047,322.97/1,719.17
  6. Step 6: Final answer
    x = 1,190.88

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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.