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Finding the Fourth Proportional to 2,178.96, 3,006.96 and 1,184.24

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Solution

The fourth proportional to 2,178.96, 3,006.96 and 1,184.24 is: 1,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.96 : 3,006.96 = 1,184.24 : x
  2. Step 2: Convert to fraction form
    2,178.96/3,006.96 = 1,184.24/x
  3. Step 3: Cross multiply
    2,178.96x = 3,006.96 × 1,184.24
  4. Step 4: Simplify right side
    2,178.96x = 3,560,962.31
  5. Step 5: Solve for x
    x = 3,560,962.31/2,178.96
  6. Step 6: Final answer
    x = 1,634.25

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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.