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Finding the Fourth Proportional to 1,597.09, 2,203.84 and 1,177.67

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Solution

The fourth proportional to 1,597.09, 2,203.84 and 1,177.67 is: 1,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.09 : 2,203.84 = 1,177.67 : x
  2. Step 2: Convert to fraction form
    1,597.09/2,203.84 = 1,177.67/x
  3. Step 3: Cross multiply
    1,597.09x = 2,203.84 × 1,177.67
  4. Step 4: Simplify right side
    1,597.09x = 2,595,395.87
  5. Step 5: Solve for x
    x = 2,595,395.87/1,597.09
  6. Step 6: Final answer
    x = 1,625.08

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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.