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Finding the Fourth Proportional to 2,313.63, 3,470.48 and 774.63

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Solution

The fourth proportional to 2,313.63, 3,470.48 and 774.63 is: 1,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.63 : 3,470.48 = 774.63 : x
  2. Step 2: Convert to fraction form
    2,313.63/3,470.48 = 774.63/x
  3. Step 3: Cross multiply
    2,313.63x = 3,470.48 × 774.63
  4. Step 4: Simplify right side
    2,313.63x = 2,688,337.92
  5. Step 5: Solve for x
    x = 2,688,337.92/2,313.63
  6. Step 6: Final answer
    x = 1,161.96

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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.