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Finding the Fourth Proportional to 1,611.70, 2,418.46 and 917.93

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Solution

The fourth proportional to 1,611.70, 2,418.46 and 917.93 is: 1,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.70 : 2,418.46 = 917.93 : x
  2. Step 2: Convert to fraction form
    1,611.70/2,418.46 = 917.93/x
  3. Step 3: Cross multiply
    1,611.70x = 2,418.46 × 917.93
  4. Step 4: Simplify right side
    1,611.70x = 2,219,980.74
  5. Step 5: Solve for x
    x = 2,219,980.74/1,611.70
  6. Step 6: Final answer
    x = 1,377.42

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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.