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Finding the Fourth Proportional to 1,611.18, 2,416.38 and 623.82

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Solution

The fourth proportional to 1,611.18, 2,416.38 and 623.82 is: 935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.18 : 2,416.38 = 623.82 : x
  2. Step 2: Convert to fraction form
    1,611.18/2,416.38 = 623.82/x
  3. Step 3: Cross multiply
    1,611.18x = 2,416.38 × 623.82
  4. Step 4: Simplify right side
    1,611.18x = 1,507,386.17
  5. Step 5: Solve for x
    x = 1,507,386.17/1,611.18
  6. Step 6: Final answer
    x = 935.58

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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.