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Finding the Fourth Proportional to 2,779.08, 4,162.95 and 1,802.22

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Solution

The fourth proportional to 2,779.08, 4,162.95 and 1,802.22 is: 2,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.08 : 4,162.95 = 1,802.22 : x
  2. Step 2: Convert to fraction form
    2,779.08/4,162.95 = 1,802.22/x
  3. Step 3: Cross multiply
    2,779.08x = 4,162.95 × 1,802.22
  4. Step 4: Simplify right side
    2,779.08x = 7,502,551.75
  5. Step 5: Solve for x
    x = 7,502,551.75/2,779.08
  6. Step 6: Final answer
    x = 2,699.65

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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.