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Finding the Fourth Proportional to 2,415.19, 3,622.78 and 683.81

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Solution

The fourth proportional to 2,415.19, 3,622.78 and 683.81 is: 1,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.19 : 3,622.78 = 683.81 : x
  2. Step 2: Convert to fraction form
    2,415.19/3,622.78 = 683.81/x
  3. Step 3: Cross multiply
    2,415.19x = 3,622.78 × 683.81
  4. Step 4: Simplify right side
    2,415.19x = 2,477,303.96
  5. Step 5: Solve for x
    x = 2,477,303.96/2,415.19
  6. Step 6: Final answer
    x = 1,025.72

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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.