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Finding the Fourth Proportional to 1,611.90, 2,415.42 and 918.14

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Solution

The fourth proportional to 1,611.90, 2,415.42 and 918.14 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.90 : 2,415.42 = 918.14 : x
  2. Step 2: Convert to fraction form
    1,611.90/2,415.42 = 918.14/x
  3. Step 3: Cross multiply
    1,611.90x = 2,415.42 × 918.14
  4. Step 4: Simplify right side
    1,611.90x = 2,217,681.64
  5. Step 5: Solve for x
    x = 2,217,681.64/1,611.90
  6. Step 6: Final answer
    x = 1,375.82

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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.