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Finding the Fourth Proportional to 4,600.80, 6,900.24 and 1,313

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Solution

The fourth proportional to 4,600.80, 6,900.24 and 1,313 is: 1,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.80 : 6,900.24 = 1,313 : x
  2. Step 2: Convert to fraction form
    4,600.80/6,900.24 = 1,313/x
  3. Step 3: Cross multiply
    4,600.80x = 6,900.24 × 1,313
  4. Step 4: Simplify right side
    4,600.80x = 9,060,015.12
  5. Step 5: Solve for x
    x = 9,060,015.12/4,600.80
  6. Step 6: Final answer
    x = 1,969.23

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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.