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Finding the Fourth Proportional to 2,300.41, 3,447.55 and 838.18

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Solution

The fourth proportional to 2,300.41, 3,447.55 and 838.18 is: 1,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.41 : 3,447.55 = 838.18 : x
  2. Step 2: Convert to fraction form
    2,300.41/3,447.55 = 838.18/x
  3. Step 3: Cross multiply
    2,300.41x = 3,447.55 × 838.18
  4. Step 4: Simplify right side
    2,300.41x = 2,889,667.46
  5. Step 5: Solve for x
    x = 2,889,667.46/2,300.41
  6. Step 6: Final answer
    x = 1,256.15

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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.