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Finding the Fourth Proportional to 3,110.93, 4,666.42 and 919.67

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Solution

The fourth proportional to 3,110.93, 4,666.42 and 919.67 is: 1,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.93 : 4,666.42 = 919.67 : x
  2. Step 2: Convert to fraction form
    3,110.93/4,666.42 = 919.67/x
  3. Step 3: Cross multiply
    3,110.93x = 4,666.42 × 919.67
  4. Step 4: Simplify right side
    3,110.93x = 4,291,566.48
  5. Step 5: Solve for x
    x = 4,291,566.48/3,110.93
  6. Step 6: Final answer
    x = 1,379.51

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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.