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Finding the Fourth Proportional to 3,047.52, 4,205.60 and 1,650.28

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Solution

The fourth proportional to 3,047.52, 4,205.60 and 1,650.28 is: 2,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.52 : 4,205.60 = 1,650.28 : x
  2. Step 2: Convert to fraction form
    3,047.52/4,205.60 = 1,650.28/x
  3. Step 3: Cross multiply
    3,047.52x = 4,205.60 × 1,650.28
  4. Step 4: Simplify right side
    3,047.52x = 6,940,417.57
  5. Step 5: Solve for x
    x = 6,940,417.57/3,047.52
  6. Step 6: Final answer
    x = 2,277.40

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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.