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Finding the Fourth Proportional to 2,709.50, 4,063.59 and 1,148.63

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Solution

The fourth proportional to 2,709.50, 4,063.59 and 1,148.63 is: 1,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.50 : 4,063.59 = 1,148.63 : x
  2. Step 2: Convert to fraction form
    2,709.50/4,063.59 = 1,148.63/x
  3. Step 3: Cross multiply
    2,709.50x = 4,063.59 × 1,148.63
  4. Step 4: Simplify right side
    2,709.50x = 4,667,541.06
  5. Step 5: Solve for x
    x = 4,667,541.06/2,709.50
  6. Step 6: Final answer
    x = 1,722.66

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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.