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Finding the Fourth Proportional to 2,444.29, 3,667.12 and 962.60

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Solution

The fourth proportional to 2,444.29, 3,667.12 and 962.60 is: 1,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.29 : 3,667.12 = 962.60 : x
  2. Step 2: Convert to fraction form
    2,444.29/3,667.12 = 962.60/x
  3. Step 3: Cross multiply
    2,444.29x = 3,667.12 × 962.60
  4. Step 4: Simplify right side
    2,444.29x = 3,529,969.71
  5. Step 5: Solve for x
    x = 3,529,969.71/2,444.29
  6. Step 6: Final answer
    x = 1,444.17

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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.