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Finding the Fourth Proportional to 2,785.44, 4,177.76 and 1,053.66

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Solution

The fourth proportional to 2,785.44, 4,177.76 and 1,053.66 is: 1,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.44 : 4,177.76 = 1,053.66 : x
  2. Step 2: Convert to fraction form
    2,785.44/4,177.76 = 1,053.66/x
  3. Step 3: Cross multiply
    2,785.44x = 4,177.76 × 1,053.66
  4. Step 4: Simplify right side
    2,785.44x = 4,401,933.33
  5. Step 5: Solve for x
    x = 4,401,933.33/2,785.44
  6. Step 6: Final answer
    x = 1,580.34

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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.