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Finding the Fourth Proportional to 3,464.91, 4,781.95 and 1,973.10

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Solution

The fourth proportional to 3,464.91, 4,781.95 and 1,973.10 is: 2,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.91 : 4,781.95 = 1,973.10 : x
  2. Step 2: Convert to fraction form
    3,464.91/4,781.95 = 1,973.10/x
  3. Step 3: Cross multiply
    3,464.91x = 4,781.95 × 1,973.10
  4. Step 4: Simplify right side
    3,464.91x = 9,435,265.55
  5. Step 5: Solve for x
    x = 9,435,265.55/3,464.91
  6. Step 6: Final answer
    x = 2,723.09

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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.