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Finding the Fourth Proportional to 4,070.69, 6,104.81 and 1,730.67

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Solution

The fourth proportional to 4,070.69, 6,104.81 and 1,730.67 is: 2,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.69 : 6,104.81 = 1,730.67 : x
  2. Step 2: Convert to fraction form
    4,070.69/6,104.81 = 1,730.67/x
  3. Step 3: Cross multiply
    4,070.69x = 6,104.81 × 1,730.67
  4. Step 4: Simplify right side
    4,070.69x = 10,565,402.87
  5. Step 5: Solve for x
    x = 10,565,402.87/4,070.69
  6. Step 6: Final answer
    x = 2,595.49

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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.