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Finding the Fourth Proportional to 2,184.63, 3,275.73 and 884.58

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Solution

The fourth proportional to 2,184.63, 3,275.73 and 884.58 is: 1,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.63 : 3,275.73 = 884.58 : x
  2. Step 2: Convert to fraction form
    2,184.63/3,275.73 = 884.58/x
  3. Step 3: Cross multiply
    2,184.63x = 3,275.73 × 884.58
  4. Step 4: Simplify right side
    2,184.63x = 2,897,645.24
  5. Step 5: Solve for x
    x = 2,897,645.24/2,184.63
  6. Step 6: Final answer
    x = 1,326.38

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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.