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Finding the Fourth Proportional to 2,064.46, 3,095.19 and 677.35

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Solution

The fourth proportional to 2,064.46, 3,095.19 and 677.35 is: 1,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.46 : 3,095.19 = 677.35 : x
  2. Step 2: Convert to fraction form
    2,064.46/3,095.19 = 677.35/x
  3. Step 3: Cross multiply
    2,064.46x = 3,095.19 × 677.35
  4. Step 4: Simplify right side
    2,064.46x = 2,096,526.95
  5. Step 5: Solve for x
    x = 2,096,526.95/2,064.46
  6. Step 6: Final answer
    x = 1,015.53

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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.