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Finding the Fourth Proportional to 1,280.18, 1,917.72 and 986.66

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Solution

The fourth proportional to 1,280.18, 1,917.72 and 986.66 is: 1,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.18 : 1,917.72 = 986.66 : x
  2. Step 2: Convert to fraction form
    1,280.18/1,917.72 = 986.66/x
  3. Step 3: Cross multiply
    1,280.18x = 1,917.72 × 986.66
  4. Step 4: Simplify right side
    1,280.18x = 1,892,128.03
  5. Step 5: Solve for x
    x = 1,892,128.03/1,280.18
  6. Step 6: Final answer
    x = 1,478.02

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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.