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Finding the Fourth Proportional to 2,070.48, 3,105.30 and 609.50

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Solution

The fourth proportional to 2,070.48, 3,105.30 and 609.50 is: 914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.48 : 3,105.30 = 609.50 : x
  2. Step 2: Convert to fraction form
    2,070.48/3,105.30 = 609.50/x
  3. Step 3: Cross multiply
    2,070.48x = 3,105.30 × 609.50
  4. Step 4: Simplify right side
    2,070.48x = 1,892,680.35
  5. Step 5: Solve for x
    x = 1,892,680.35/2,070.48
  6. Step 6: Final answer
    x = 914.13

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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.