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Finding the Fourth Proportional to 3,102.90, 4,650.30 and 1,641.66

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Solution

The fourth proportional to 3,102.90, 4,650.30 and 1,641.66 is: 2,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.90 : 4,650.30 = 1,641.66 : x
  2. Step 2: Convert to fraction form
    3,102.90/4,650.30 = 1,641.66/x
  3. Step 3: Cross multiply
    3,102.90x = 4,650.30 × 1,641.66
  4. Step 4: Simplify right side
    3,102.90x = 7,634,211.50
  5. Step 5: Solve for x
    x = 7,634,211.50/3,102.90
  6. Step 6: Final answer
    x = 2,460.35

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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.