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Finding the Fourth Proportional to 1,602.79, 2,211.36 and 939.18

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Solution

The fourth proportional to 1,602.79, 2,211.36 and 939.18 is: 1,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.79 : 2,211.36 = 939.18 : x
  2. Step 2: Convert to fraction form
    1,602.79/2,211.36 = 939.18/x
  3. Step 3: Cross multiply
    1,602.79x = 2,211.36 × 939.18
  4. Step 4: Simplify right side
    1,602.79x = 2,076,851.68
  5. Step 5: Solve for x
    x = 2,076,851.68/1,602.79
  6. Step 6: Final answer
    x = 1,295.77

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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.