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Finding the Fourth Proportional to 3,139.74, 4,709.61 and 1,674.45

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Solution

The fourth proportional to 3,139.74, 4,709.61 and 1,674.45 is: 2,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.74 : 4,709.61 = 1,674.45 : x
  2. Step 2: Convert to fraction form
    3,139.74/4,709.61 = 1,674.45/x
  3. Step 3: Cross multiply
    3,139.74x = 4,709.61 × 1,674.45
  4. Step 4: Simplify right side
    3,139.74x = 7,886,006.46
  5. Step 5: Solve for x
    x = 7,886,006.46/3,139.74
  6. Step 6: Final answer
    x = 2,511.68

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1.5x scale

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.