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Finding the Fourth Proportional to 2,477.46, 3,419.10 and 2,034.12

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Solution

The fourth proportional to 2,477.46, 3,419.10 and 2,034.12 is: 2,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.46 : 3,419.10 = 2,034.12 : x
  2. Step 2: Convert to fraction form
    2,477.46/3,419.10 = 2,034.12/x
  3. Step 3: Cross multiply
    2,477.46x = 3,419.10 × 2,034.12
  4. Step 4: Simplify right side
    2,477.46x = 6,954,859.69
  5. Step 5: Solve for x
    x = 6,954,859.69/2,477.46
  6. Step 6: Final answer
    x = 2,807.25

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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.