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Finding the Fourth Proportional to 1,911.68, 2,867.51 and 1,539.74

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Solution

The fourth proportional to 1,911.68, 2,867.51 and 1,539.74 is: 2,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.68 : 2,867.51 = 1,539.74 : x
  2. Step 2: Convert to fraction form
    1,911.68/2,867.51 = 1,539.74/x
  3. Step 3: Cross multiply
    1,911.68x = 2,867.51 × 1,539.74
  4. Step 4: Simplify right side
    1,911.68x = 4,415,205.51
  5. Step 5: Solve for x
    x = 4,415,205.51/1,911.68
  6. Step 6: Final answer
    x = 2,309.60

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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.