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Finding the Fourth Proportional to 2,645.01, 3,650.27 and 1,597.23

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Solution

The fourth proportional to 2,645.01, 3,650.27 and 1,597.23 is: 2,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.01 : 3,650.27 = 1,597.23 : x
  2. Step 2: Convert to fraction form
    2,645.01/3,650.27 = 1,597.23/x
  3. Step 3: Cross multiply
    2,645.01x = 3,650.27 × 1,597.23
  4. Step 4: Simplify right side
    2,645.01x = 5,830,312.77
  5. Step 5: Solve for x
    x = 5,830,312.77/2,645.01
  6. Step 6: Final answer
    x = 2,204.27

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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.