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Finding the Fourth Proportional to 2,436.78, 3,653.64 and 974.28

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Solution

The fourth proportional to 2,436.78, 3,653.64 and 974.28 is: 1,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.78 : 3,653.64 = 974.28 : x
  2. Step 2: Convert to fraction form
    2,436.78/3,653.64 = 974.28/x
  3. Step 3: Cross multiply
    2,436.78x = 3,653.64 × 974.28
  4. Step 4: Simplify right side
    2,436.78x = 3,559,668.38
  5. Step 5: Solve for x
    x = 3,559,668.38/2,436.78
  6. Step 6: Final answer
    x = 1,460.81

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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.