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Finding the Fourth Proportional to 2,037, 3,055.54 and 669

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Solution

The fourth proportional to 2,037, 3,055.54 and 669 is: 1,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 3,055.54 = 669 : x
  2. Step 2: Convert to fraction form
    2,037/3,055.54 = 669/x
  3. Step 3: Cross multiply
    2,037x = 3,055.54 × 669
  4. Step 4: Simplify right side
    2,037x = 2,044,156.26
  5. Step 5: Solve for x
    x = 2,044,156.26/2,037
  6. Step 6: Final answer
    x = 1,003.51

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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.