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Finding the Fourth Proportional to 2,009.16, 3,013.17 and 854.64

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Solution

The fourth proportional to 2,009.16, 3,013.17 and 854.64 is: 1,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.16 : 3,013.17 = 854.64 : x
  2. Step 2: Convert to fraction form
    2,009.16/3,013.17 = 854.64/x
  3. Step 3: Cross multiply
    2,009.16x = 3,013.17 × 854.64
  4. Step 4: Simplify right side
    2,009.16x = 2,575,175.61
  5. Step 5: Solve for x
    x = 2,575,175.61/2,009.16
  6. Step 6: Final answer
    x = 1,281.72

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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.