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Finding the Fourth Proportional to 3,111.45, 4,666.10 and 1,031.19

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Solution

The fourth proportional to 3,111.45, 4,666.10 and 1,031.19 is: 1,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.45 : 4,666.10 = 1,031.19 : x
  2. Step 2: Convert to fraction form
    3,111.45/4,666.10 = 1,031.19/x
  3. Step 3: Cross multiply
    3,111.45x = 4,666.10 × 1,031.19
  4. Step 4: Simplify right side
    3,111.45x = 4,811,630.50
  5. Step 5: Solve for x
    x = 4,811,630.50/3,111.45
  6. Step 6: Final answer
    x = 1,546.43

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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.