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Finding the Fourth Proportional to 3,049.59, 4,208.46 and 1,652.34

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Solution

The fourth proportional to 3,049.59, 4,208.46 and 1,652.34 is: 2,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.59 : 4,208.46 = 1,652.34 : x
  2. Step 2: Convert to fraction form
    3,049.59/4,208.46 = 1,652.34/x
  3. Step 3: Cross multiply
    3,049.59x = 4,208.46 × 1,652.34
  4. Step 4: Simplify right side
    3,049.59x = 6,953,816.38
  5. Step 5: Solve for x
    x = 6,953,816.38/3,049.59
  6. Step 6: Final answer
    x = 2,280.24

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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.