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Finding the Fourth Proportional to 2,523.40, 3,786.63 and 1,597.67

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Solution

The fourth proportional to 2,523.40, 3,786.63 and 1,597.67 is: 2,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.40 : 3,786.63 = 1,597.67 : x
  2. Step 2: Convert to fraction form
    2,523.40/3,786.63 = 1,597.67/x
  3. Step 3: Cross multiply
    2,523.40x = 3,786.63 × 1,597.67
  4. Step 4: Simplify right side
    2,523.40x = 6,049,785.15
  5. Step 5: Solve for x
    x = 6,049,785.15/2,523.40
  6. Step 6: Final answer
    x = 2,397.47

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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.