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Finding the Fourth Proportional to 2,341.35, 3,512.03 and 609.98

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Solution

The fourth proportional to 2,341.35, 3,512.03 and 609.98 is: 914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.35 : 3,512.03 = 609.98 : x
  2. Step 2: Convert to fraction form
    2,341.35/3,512.03 = 609.98/x
  3. Step 3: Cross multiply
    2,341.35x = 3,512.03 × 609.98
  4. Step 4: Simplify right side
    2,341.35x = 2,142,247.45
  5. Step 5: Solve for x
    x = 2,142,247.45/2,341.35
  6. Step 6: Final answer
    x = 914.96

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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.