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Finding the Fourth Proportional to 2,802.63, 3,867.65 and 1,918.72

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Solution

The fourth proportional to 2,802.63, 3,867.65 and 1,918.72 is: 2,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.63 : 3,867.65 = 1,918.72 : x
  2. Step 2: Convert to fraction form
    2,802.63/3,867.65 = 1,918.72/x
  3. Step 3: Cross multiply
    2,802.63x = 3,867.65 × 1,918.72
  4. Step 4: Simplify right side
    2,802.63x = 7,420,939.84
  5. Step 5: Solve for x
    x = 7,420,939.84/2,802.63
  6. Step 6: Final answer
    x = 2,647.85

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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.