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Finding the Fourth Proportional to 1,420.67, 1,960.81 and 923.74

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Solution

The fourth proportional to 1,420.67, 1,960.81 and 923.74 is: 1,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.67 : 1,960.81 = 923.74 : x
  2. Step 2: Convert to fraction form
    1,420.67/1,960.81 = 923.74/x
  3. Step 3: Cross multiply
    1,420.67x = 1,960.81 × 923.74
  4. Step 4: Simplify right side
    1,420.67x = 1,811,271.42
  5. Step 5: Solve for x
    x = 1,811,271.42/1,420.67
  6. Step 6: Final answer
    x = 1,274.94

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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.