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Finding the Fourth Proportional to 3,097.75, 4,274.91 and 1,700.50

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Solution

The fourth proportional to 3,097.75, 4,274.91 and 1,700.50 is: 2,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.75 : 4,274.91 = 1,700.50 : x
  2. Step 2: Convert to fraction form
    3,097.75/4,274.91 = 1,700.50/x
  3. Step 3: Cross multiply
    3,097.75x = 4,274.91 × 1,700.50
  4. Step 4: Simplify right side
    3,097.75x = 7,269,484.46
  5. Step 5: Solve for x
    x = 7,269,484.46/3,097.75
  6. Step 6: Final answer
    x = 2,346.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.