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Finding the Fourth Proportional to 2,944.02, 4,063.06 and 1,765.20

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Solution

The fourth proportional to 2,944.02, 4,063.06 and 1,765.20 is: 2,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.02 : 4,063.06 = 1,765.20 : x
  2. Step 2: Convert to fraction form
    2,944.02/4,063.06 = 1,765.20/x
  3. Step 3: Cross multiply
    2,944.02x = 4,063.06 × 1,765.20
  4. Step 4: Simplify right side
    2,944.02x = 7,172,113.51
  5. Step 5: Solve for x
    x = 7,172,113.51/2,944.02
  6. Step 6: Final answer
    x = 2,436.16

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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.