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Finding the Fourth Proportional to 3,094.71, 4,270.74 and 1,697.55

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Solution

The fourth proportional to 3,094.71, 4,270.74 and 1,697.55 is: 2,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.71 : 4,270.74 = 1,697.55 : x
  2. Step 2: Convert to fraction form
    3,094.71/4,270.74 = 1,697.55/x
  3. Step 3: Cross multiply
    3,094.71x = 4,270.74 × 1,697.55
  4. Step 4: Simplify right side
    3,094.71x = 7,249,764.85
  5. Step 5: Solve for x
    x = 7,249,764.85/3,094.71
  6. Step 6: Final answer
    x = 2,342.64

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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.