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Finding the Fourth Proportional to 1,984.74, 2,739.32 and 1,145.99

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Solution

The fourth proportional to 1,984.74, 2,739.32 and 1,145.99 is: 1,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.74 : 2,739.32 = 1,145.99 : x
  2. Step 2: Convert to fraction form
    1,984.74/2,739.32 = 1,145.99/x
  3. Step 3: Cross multiply
    1,984.74x = 2,739.32 × 1,145.99
  4. Step 4: Simplify right side
    1,984.74x = 3,139,222.50
  5. Step 5: Solve for x
    x = 3,139,222.50/1,984.74
  6. Step 6: Final answer
    x = 1,581.68

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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.