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Finding the Fourth Proportional to 1,439.76, 1,985.99 and 942.41

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Solution

The fourth proportional to 1,439.76, 1,985.99 and 942.41 is: 1,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.76 : 1,985.99 = 942.41 : x
  2. Step 2: Convert to fraction form
    1,439.76/1,985.99 = 942.41/x
  3. Step 3: Cross multiply
    1,439.76x = 1,985.99 × 942.41
  4. Step 4: Simplify right side
    1,439.76x = 1,871,602.19
  5. Step 5: Solve for x
    x = 1,871,602.19/1,439.76
  6. Step 6: Final answer
    x = 1,299.94

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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.