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Finding the Fourth Proportional to 2,301.95, 3,453.96 and 1,781.16

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Solution

The fourth proportional to 2,301.95, 3,453.96 and 1,781.16 is: 2,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.95 : 3,453.96 = 1,781.16 : x
  2. Step 2: Convert to fraction form
    2,301.95/3,453.96 = 1,781.16/x
  3. Step 3: Cross multiply
    2,301.95x = 3,453.96 × 1,781.16
  4. Step 4: Simplify right side
    2,301.95x = 6,152,055.39
  5. Step 5: Solve for x
    x = 6,152,055.39/2,301.95
  6. Step 6: Final answer
    x = 2,672.55

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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.