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Finding the Fourth Proportional to 2,477.05, 3,419.22 and 1,690.54

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Solution

The fourth proportional to 2,477.05, 3,419.22 and 1,690.54 is: 2,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.05 : 3,419.22 = 1,690.54 : x
  2. Step 2: Convert to fraction form
    2,477.05/3,419.22 = 1,690.54/x
  3. Step 3: Cross multiply
    2,477.05x = 3,419.22 × 1,690.54
  4. Step 4: Simplify right side
    2,477.05x = 5,780,328.18
  5. Step 5: Solve for x
    x = 5,780,328.18/2,477.05
  6. Step 6: Final answer
    x = 2,333.55

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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.