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Finding the Fourth Proportional to 2,014.95, 2,781.93 and 1,642.83

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Solution

The fourth proportional to 2,014.95, 2,781.93 and 1,642.83 is: 2,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.95 : 2,781.93 = 1,642.83 : x
  2. Step 2: Convert to fraction form
    2,014.95/2,781.93 = 1,642.83/x
  3. Step 3: Cross multiply
    2,014.95x = 2,781.93 × 1,642.83
  4. Step 4: Simplify right side
    2,014.95x = 4,570,238.06
  5. Step 5: Solve for x
    x = 4,570,238.06/2,014.95
  6. Step 6: Final answer
    x = 2,268.16

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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.