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Finding the Fourth Proportional to 2,069.10, 3,103.68 and 509.11

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Solution

The fourth proportional to 2,069.10, 3,103.68 and 509.11 is: 763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.10 : 3,103.68 = 509.11 : x
  2. Step 2: Convert to fraction form
    2,069.10/3,103.68 = 509.11/x
  3. Step 3: Cross multiply
    2,069.10x = 3,103.68 × 509.11
  4. Step 4: Simplify right side
    2,069.10x = 1,580,108.67
  5. Step 5: Solve for x
    x = 1,580,108.67/2,069.10
  6. Step 6: Final answer
    x = 763.67

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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.