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Finding the Fourth Proportional to 2,368.46, 3,269.78 and 1,424.48

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Solution

The fourth proportional to 2,368.46, 3,269.78 and 1,424.48 is: 1,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.46 : 3,269.78 = 1,424.48 : x
  2. Step 2: Convert to fraction form
    2,368.46/3,269.78 = 1,424.48/x
  3. Step 3: Cross multiply
    2,368.46x = 3,269.78 × 1,424.48
  4. Step 4: Simplify right side
    2,368.46x = 4,657,736.21
  5. Step 5: Solve for x
    x = 4,657,736.21/2,368.46
  6. Step 6: Final answer
    x = 1,966.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.