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Finding the Fourth Proportional to 2,037, 3,055.50 and 498

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Solution

The fourth proportional to 2,037, 3,055.50 and 498 is: 747

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 3,055.50 = 498 : x
  2. Step 2: Convert to fraction form
    2,037/3,055.50 = 498/x
  3. Step 3: Cross multiply
    2,037x = 3,055.50 × 498
  4. Step 4: Simplify right side
    2,037x = 1,521,639
  5. Step 5: Solve for x
    x = 1,521,639/2,037
  6. Step 6: Final answer
    x = 747

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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.