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Finding the Fourth Proportional to 2,563.58, 3,845.88 and 919.69

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Solution

The fourth proportional to 2,563.58, 3,845.88 and 919.69 is: 1,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.58 : 3,845.88 = 919.69 : x
  2. Step 2: Convert to fraction form
    2,563.58/3,845.88 = 919.69/x
  3. Step 3: Cross multiply
    2,563.58x = 3,845.88 × 919.69
  4. Step 4: Simplify right side
    2,563.58x = 3,537,017.38
  5. Step 5: Solve for x
    x = 3,537,017.38/2,563.58
  6. Step 6: Final answer
    x = 1,379.72

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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.