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Finding the Fourth Proportional to 2,354, 3,529.44 and 1,037.76

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Solution

The fourth proportional to 2,354, 3,529.44 and 1,037.76 is: 1,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354 : 3,529.44 = 1,037.76 : x
  2. Step 2: Convert to fraction form
    2,354/3,529.44 = 1,037.76/x
  3. Step 3: Cross multiply
    2,354x = 3,529.44 × 1,037.76
  4. Step 4: Simplify right side
    2,354x = 3,662,711.65
  5. Step 5: Solve for x
    x = 3,662,711.65/2,354
  6. Step 6: Final answer
    x = 1,555.95

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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.