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Finding the Fourth Proportional to 1,700.94, 2,549.58 and 1,213.74

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Solution

The fourth proportional to 1,700.94, 2,549.58 and 1,213.74 is: 1,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.94 : 2,549.58 = 1,213.74 : x
  2. Step 2: Convert to fraction form
    1,700.94/2,549.58 = 1,213.74/x
  3. Step 3: Cross multiply
    1,700.94x = 2,549.58 × 1,213.74
  4. Step 4: Simplify right side
    1,700.94x = 3,094,527.23
  5. Step 5: Solve for x
    x = 3,094,527.23/1,700.94
  6. Step 6: Final answer
    x = 1,819.30

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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.