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Finding the Fourth Proportional to 3,053.70, 4,214.43 and 1,795.77

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Solution

The fourth proportional to 3,053.70, 4,214.43 and 1,795.77 is: 2,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.70 : 4,214.43 = 1,795.77 : x
  2. Step 2: Convert to fraction form
    3,053.70/4,214.43 = 1,795.77/x
  3. Step 3: Cross multiply
    3,053.70x = 4,214.43 × 1,795.77
  4. Step 4: Simplify right side
    3,053.70x = 7,568,146.96
  5. Step 5: Solve for x
    x = 7,568,146.96/3,053.70
  6. Step 6: Final answer
    x = 2,478.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.