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Finding the Fourth Proportional to 3,109.45, 4,663.10 and 917.59

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Solution

The fourth proportional to 3,109.45, 4,663.10 and 917.59 is: 1,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.45 : 4,663.10 = 917.59 : x
  2. Step 2: Convert to fraction form
    3,109.45/4,663.10 = 917.59/x
  3. Step 3: Cross multiply
    3,109.45x = 4,663.10 × 917.59
  4. Step 4: Simplify right side
    3,109.45x = 4,278,809.34
  5. Step 5: Solve for x
    x = 4,278,809.34/3,109.45
  6. Step 6: Final answer
    x = 1,376.07

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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.