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Finding the Fourth Proportional to 2,300.68, 3,447.91 and 1,259.11

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Solution

The fourth proportional to 2,300.68, 3,447.91 and 1,259.11 is: 1,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.68 : 3,447.91 = 1,259.11 : x
  2. Step 2: Convert to fraction form
    2,300.68/3,447.91 = 1,259.11/x
  3. Step 3: Cross multiply
    2,300.68x = 3,447.91 × 1,259.11
  4. Step 4: Simplify right side
    2,300.68x = 4,341,297.96
  5. Step 5: Solve for x
    x = 4,341,297.96/2,300.68
  6. Step 6: Final answer
    x = 1,886.96

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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.