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Finding the Fourth Proportional to 1,602.72, 2,210.98 and 939.16

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Solution

The fourth proportional to 1,602.72, 2,210.98 and 939.16 is: 1,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.72 : 2,210.98 = 939.16 : x
  2. Step 2: Convert to fraction form
    1,602.72/2,210.98 = 939.16/x
  3. Step 3: Cross multiply
    1,602.72x = 2,210.98 × 939.16
  4. Step 4: Simplify right side
    1,602.72x = 2,076,463.98
  5. Step 5: Solve for x
    x = 2,076,463.98/1,602.72
  6. Step 6: Final answer
    x = 1,295.59

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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.