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Finding the Fourth Proportional to 2,645.64, 3,651.72 and 1,597.76

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Solution

The fourth proportional to 2,645.64, 3,651.72 and 1,597.76 is: 2,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.64 : 3,651.72 = 1,597.76 : x
  2. Step 2: Convert to fraction form
    2,645.64/3,651.72 = 1,597.76/x
  3. Step 3: Cross multiply
    2,645.64x = 3,651.72 × 1,597.76
  4. Step 4: Simplify right side
    2,645.64x = 5,834,572.15
  5. Step 5: Solve for x
    x = 5,834,572.15/2,645.64
  6. Step 6: Final answer
    x = 2,205.35

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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.