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Finding the Fourth Proportional to 3,005.78, 4,146.68 and 1,885.95

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Solution

The fourth proportional to 3,005.78, 4,146.68 and 1,885.95 is: 2,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.78 : 4,146.68 = 1,885.95 : x
  2. Step 2: Convert to fraction form
    3,005.78/4,146.68 = 1,885.95/x
  3. Step 3: Cross multiply
    3,005.78x = 4,146.68 × 1,885.95
  4. Step 4: Simplify right side
    3,005.78x = 7,820,435.86
  5. Step 5: Solve for x
    x = 7,820,435.86/3,005.78
  6. Step 6: Final answer
    x = 2,601.80

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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.