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Finding the Fourth Proportional to 2,005.68, 2,753.10 and 1,779.70

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Solution

The fourth proportional to 2,005.68, 2,753.10 and 1,779.70 is: 2,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.68 : 2,753.10 = 1,779.70 : x
  2. Step 2: Convert to fraction form
    2,005.68/2,753.10 = 1,779.70/x
  3. Step 3: Cross multiply
    2,005.68x = 2,753.10 × 1,779.70
  4. Step 4: Simplify right side
    2,005.68x = 4,899,692.07
  5. Step 5: Solve for x
    x = 4,899,692.07/2,005.68
  6. Step 6: Final answer
    x = 2,442.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.