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Finding the Fourth Proportional to 3,037.50, 4,558.14 and 1,306.14

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Solution

The fourth proportional to 3,037.50, 4,558.14 and 1,306.14 is: 1,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.50 : 4,558.14 = 1,306.14 : x
  2. Step 2: Convert to fraction form
    3,037.50/4,558.14 = 1,306.14/x
  3. Step 3: Cross multiply
    3,037.50x = 4,558.14 × 1,306.14
  4. Step 4: Simplify right side
    3,037.50x = 5,953,568.98
  5. Step 5: Solve for x
    x = 5,953,568.98/3,037.50
  6. Step 6: Final answer
    x = 1,960.02

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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.