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Finding the Fourth Proportional to 1,597.23, 2,205.63 and 1,203.57

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Solution

The fourth proportional to 1,597.23, 2,205.63 and 1,203.57 is: 1,662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.23 : 2,205.63 = 1,203.57 : x
  2. Step 2: Convert to fraction form
    1,597.23/2,205.63 = 1,203.57/x
  3. Step 3: Cross multiply
    1,597.23x = 2,205.63 × 1,203.57
  4. Step 4: Simplify right side
    1,597.23x = 2,654,630.10
  5. Step 5: Solve for x
    x = 2,654,630.10/1,597.23
  6. Step 6: Final answer
    x = 1,662.02

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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.