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Finding the Fourth Proportional to 3,040, 4,560.64 and 1,216

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Solution

The fourth proportional to 3,040, 4,560.64 and 1,216 is: 1,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040 : 4,560.64 = 1,216 : x
  2. Step 2: Convert to fraction form
    3,040/4,560.64 = 1,216/x
  3. Step 3: Cross multiply
    3,040x = 4,560.64 × 1,216
  4. Step 4: Simplify right side
    3,040x = 5,545,738.24
  5. Step 5: Solve for x
    x = 5,545,738.24/3,040
  6. Step 6: Final answer
    x = 1,824.26

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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.