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Finding the Fourth Proportional to 1,597.35, 2,403.72 and 1,446.24

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Solution

The fourth proportional to 1,597.35, 2,403.72 and 1,446.24 is: 2,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.35 : 2,403.72 = 1,446.24 : x
  2. Step 2: Convert to fraction form
    1,597.35/2,403.72 = 1,446.24/x
  3. Step 3: Cross multiply
    1,597.35x = 2,403.72 × 1,446.24
  4. Step 4: Simplify right side
    1,597.35x = 3,476,356.01
  5. Step 5: Solve for x
    x = 3,476,356.01/1,597.35
  6. Step 6: Final answer
    x = 2,176.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.