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Finding the Fourth Proportional to 3,207.34, 4,813.04 and 1,259.50

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Solution

The fourth proportional to 3,207.34, 4,813.04 and 1,259.50 is: 1,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.34 : 4,813.04 = 1,259.50 : x
  2. Step 2: Convert to fraction form
    3,207.34/4,813.04 = 1,259.50/x
  3. Step 3: Cross multiply
    3,207.34x = 4,813.04 × 1,259.50
  4. Step 4: Simplify right side
    3,207.34x = 6,062,023.88
  5. Step 5: Solve for x
    x = 6,062,023.88/3,207.34
  6. Step 6: Final answer
    x = 1,890.05

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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.