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Finding the Fourth Proportional to 2,738.77, 3,779.94 and 1,560.22

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Solution

The fourth proportional to 2,738.77, 3,779.94 and 1,560.22 is: 2,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.77 : 3,779.94 = 1,560.22 : x
  2. Step 2: Convert to fraction form
    2,738.77/3,779.94 = 1,560.22/x
  3. Step 3: Cross multiply
    2,738.77x = 3,779.94 × 1,560.22
  4. Step 4: Simplify right side
    2,738.77x = 5,897,537.99
  5. Step 5: Solve for x
    x = 5,897,537.99/2,738.77
  6. Step 6: Final answer
    x = 2,153.35

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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.