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Finding the Fourth Proportional to 1,984.95, 2,739.16 and 1,145.69

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Solution

The fourth proportional to 1,984.95, 2,739.16 and 1,145.69 is: 1,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.95 : 2,739.16 = 1,145.69 : x
  2. Step 2: Convert to fraction form
    1,984.95/2,739.16 = 1,145.69/x
  3. Step 3: Cross multiply
    1,984.95x = 2,739.16 × 1,145.69
  4. Step 4: Simplify right side
    1,984.95x = 3,138,232.20
  5. Step 5: Solve for x
    x = 3,138,232.20/1,984.95
  6. Step 6: Final answer
    x = 1,581.01

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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.