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Finding the Fourth Proportional to 1,597.23, 2,406.71 and 1,329.32

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Solution

The fourth proportional to 1,597.23, 2,406.71 and 1,329.32 is: 2,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.23 : 2,406.71 = 1,329.32 : x
  2. Step 2: Convert to fraction form
    1,597.23/2,406.71 = 1,329.32/x
  3. Step 3: Cross multiply
    1,597.23x = 2,406.71 × 1,329.32
  4. Step 4: Simplify right side
    1,597.23x = 3,199,269.06
  5. Step 5: Solve for x
    x = 3,199,269.06/1,597.23
  6. Step 6: Final answer
    x = 2,003.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.