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Finding the Fourth Proportional to 3,097.42, 4,274.40 and 1,700.17

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Solution

The fourth proportional to 3,097.42, 4,274.40 and 1,700.17 is: 2,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.42 : 4,274.40 = 1,700.17 : x
  2. Step 2: Convert to fraction form
    3,097.42/4,274.40 = 1,700.17/x
  3. Step 3: Cross multiply
    3,097.42x = 4,274.40 × 1,700.17
  4. Step 4: Simplify right side
    3,097.42x = 7,267,206.65
  5. Step 5: Solve for x
    x = 7,267,206.65/3,097.42
  6. Step 6: Final answer
    x = 2,346.21

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