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Finding the Fourth Proportional to 1,885.58, 2,603.63 and 1,178.25

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Solution

The fourth proportional to 1,885.58, 2,603.63 and 1,178.25 is: 1,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.58 : 2,603.63 = 1,178.25 : x
  2. Step 2: Convert to fraction form
    1,885.58/2,603.63 = 1,178.25/x
  3. Step 3: Cross multiply
    1,885.58x = 2,603.63 × 1,178.25
  4. Step 4: Simplify right side
    1,885.58x = 3,067,729.99
  5. Step 5: Solve for x
    x = 3,067,729.99/1,885.58
  6. Step 6: Final answer
    x = 1,626.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.