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Finding the Fourth Proportional to 2,006.03, 3,009.08 and 525.30

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Solution

The fourth proportional to 2,006.03, 3,009.08 and 525.30 is: 787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.03 : 3,009.08 = 525.30 : x
  2. Step 2: Convert to fraction form
    2,006.03/3,009.08 = 525.30/x
  3. Step 3: Cross multiply
    2,006.03x = 3,009.08 × 525.30
  4. Step 4: Simplify right side
    2,006.03x = 1,580,669.72
  5. Step 5: Solve for x
    x = 1,580,669.72/2,006.03
  6. Step 6: Final answer
    x = 787.96

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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.