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Finding the Fourth Proportional to 2,117.42, 3,175.73 and 884.49

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Solution

The fourth proportional to 2,117.42, 3,175.73 and 884.49 is: 1,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.42 : 3,175.73 = 884.49 : x
  2. Step 2: Convert to fraction form
    2,117.42/3,175.73 = 884.49/x
  3. Step 3: Cross multiply
    2,117.42x = 3,175.73 × 884.49
  4. Step 4: Simplify right side
    2,117.42x = 2,808,917.70
  5. Step 5: Solve for x
    x = 2,808,917.70/2,117.42
  6. Step 6: Final answer
    x = 1,326.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.