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Finding the Fourth Proportional to 2,005.64, 3,006.54 and 1,093

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Solution

The fourth proportional to 2,005.64, 3,006.54 and 1,093 is: 1,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.64 : 3,006.54 = 1,093 : x
  2. Step 2: Convert to fraction form
    2,005.64/3,006.54 = 1,093/x
  3. Step 3: Cross multiply
    2,005.64x = 3,006.54 × 1,093
  4. Step 4: Simplify right side
    2,005.64x = 3,286,148.22
  5. Step 5: Solve for x
    x = 3,286,148.22/2,005.64
  6. Step 6: Final answer
    x = 1,638.45

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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.