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Finding the Fourth Proportional to 2,436.41, 3,654.07 and 975.17

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Solution

The fourth proportional to 2,436.41, 3,654.07 and 975.17 is: 1,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.41 : 3,654.07 = 975.17 : x
  2. Step 2: Convert to fraction form
    2,436.41/3,654.07 = 975.17/x
  3. Step 3: Cross multiply
    2,436.41x = 3,654.07 × 975.17
  4. Step 4: Simplify right side
    2,436.41x = 3,563,318.73
  5. Step 5: Solve for x
    x = 3,563,318.73/2,436.41
  6. Step 6: Final answer
    x = 1,462.53

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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.