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Finding the Fourth Proportional to 2,205.93, 3,038.16 and 2,047.37

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Solution

The fourth proportional to 2,205.93, 3,038.16 and 2,047.37 is: 2,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.93 : 3,038.16 = 2,047.37 : x
  2. Step 2: Convert to fraction form
    2,205.93/3,038.16 = 2,047.37/x
  3. Step 3: Cross multiply
    2,205.93x = 3,038.16 × 2,047.37
  4. Step 4: Simplify right side
    2,205.93x = 6,220,222.45
  5. Step 5: Solve for x
    x = 6,220,222.45/2,205.93
  6. Step 6: Final answer
    x = 2,819.77

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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.