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Finding the Fourth Proportional to 2,415.16, 3,623.03 and 854.84

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Solution

The fourth proportional to 2,415.16, 3,623.03 and 854.84 is: 1,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.16 : 3,623.03 = 854.84 : x
  2. Step 2: Convert to fraction form
    2,415.16/3,623.03 = 854.84/x
  3. Step 3: Cross multiply
    2,415.16x = 3,623.03 × 854.84
  4. Step 4: Simplify right side
    2,415.16x = 3,097,110.97
  5. Step 5: Solve for x
    x = 3,097,110.97/2,415.16
  6. Step 6: Final answer
    x = 1,282.36

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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.