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Finding the Fourth Proportional to 3,097.60, 4,274.64 and 1,700.32

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Solution

The fourth proportional to 3,097.60, 4,274.64 and 1,700.32 is: 2,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.60 : 4,274.64 = 1,700.32 : x
  2. Step 2: Convert to fraction form
    3,097.60/4,274.64 = 1,700.32/x
  3. Step 3: Cross multiply
    3,097.60x = 4,274.64 × 1,700.32
  4. Step 4: Simplify right side
    3,097.60x = 7,268,255.88
  5. Step 5: Solve for x
    x = 7,268,255.88/3,097.60
  6. Step 6: Final answer
    x = 2,346.42

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1.5x scale

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.