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Finding the Fourth Proportional to 2,669.08, 4,005.51 and 937.84

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Solution

The fourth proportional to 2,669.08, 4,005.51 and 937.84 is: 1,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.08 : 4,005.51 = 937.84 : x
  2. Step 2: Convert to fraction form
    2,669.08/4,005.51 = 937.84/x
  3. Step 3: Cross multiply
    2,669.08x = 4,005.51 × 937.84
  4. Step 4: Simplify right side
    2,669.08x = 3,756,527.50
  5. Step 5: Solve for x
    x = 3,756,527.50/2,669.08
  6. Step 6: Final answer
    x = 1,407.42

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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.