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Finding the Fourth Proportional to 3,053.77, 4,577.56 and 1,204.16

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Solution

The fourth proportional to 3,053.77, 4,577.56 and 1,204.16 is: 1,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.77 : 4,577.56 = 1,204.16 : x
  2. Step 2: Convert to fraction form
    3,053.77/4,577.56 = 1,204.16/x
  3. Step 3: Cross multiply
    3,053.77x = 4,577.56 × 1,204.16
  4. Step 4: Simplify right side
    3,053.77x = 5,512,114.65
  5. Step 5: Solve for x
    x = 5,512,114.65/3,053.77
  6. Step 6: Final answer
    x = 1,805.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.