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Finding the Fourth Proportional to 2,005.25, 2,770.30 and 1,602.35

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Solution

The fourth proportional to 2,005.25, 2,770.30 and 1,602.35 is: 2,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.25 : 2,770.30 = 1,602.35 : x
  2. Step 2: Convert to fraction form
    2,005.25/2,770.30 = 1,602.35/x
  3. Step 3: Cross multiply
    2,005.25x = 2,770.30 × 1,602.35
  4. Step 4: Simplify right side
    2,005.25x = 4,438,988.75
  5. Step 5: Solve for x
    x = 4,438,988.75/2,005.25
  6. Step 6: Final answer
    x = 2,213.69

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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.