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Finding the Fourth Proportional to 3,029.02, 4,180.03 and 1,684.64

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Solution

The fourth proportional to 3,029.02, 4,180.03 and 1,684.64 is: 2,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.02 : 4,180.03 = 1,684.64 : x
  2. Step 2: Convert to fraction form
    3,029.02/4,180.03 = 1,684.64/x
  3. Step 3: Cross multiply
    3,029.02x = 4,180.03 × 1,684.64
  4. Step 4: Simplify right side
    3,029.02x = 7,041,852.23
  5. Step 5: Solve for x
    x = 7,041,852.23/3,029.02
  6. Step 6: Final answer
    x = 2,324.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.