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Finding the Fourth Proportional to 2,779.77, 4,186.10 and 2,418.92

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Solution

The fourth proportional to 2,779.77, 4,186.10 and 2,418.92 is: 3,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.77 : 4,186.10 = 2,418.92 : x
  2. Step 2: Convert to fraction form
    2,779.77/4,186.10 = 2,418.92/x
  3. Step 3: Cross multiply
    2,779.77x = 4,186.10 × 2,418.92
  4. Step 4: Simplify right side
    2,779.77x = 10,125,841.01
  5. Step 5: Solve for x
    x = 10,125,841.01/2,779.77
  6. Step 6: Final answer
    x = 3,642.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.