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Finding the Fourth Proportional to 1,602, 2,210.76 and 981

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Solution

The fourth proportional to 1,602, 2,210.76 and 981 is: 1,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602 : 2,210.76 = 981 : x
  2. Step 2: Convert to fraction form
    1,602/2,210.76 = 981/x
  3. Step 3: Cross multiply
    1,602x = 2,210.76 × 981
  4. Step 4: Simplify right side
    1,602x = 2,168,755.56
  5. Step 5: Solve for x
    x = 2,168,755.56/1,602
  6. Step 6: Final answer
    x = 1,353.78

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Why These Related Problems?

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