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Finding the Fourth Proportional to 2,370.62, 3,267.59 and 1,897.68

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Solution

The fourth proportional to 2,370.62, 3,267.59 and 1,897.68 is: 2,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.62 : 3,267.59 = 1,897.68 : x
  2. Step 2: Convert to fraction form
    2,370.62/3,267.59 = 1,897.68/x
  3. Step 3: Cross multiply
    2,370.62x = 3,267.59 × 1,897.68
  4. Step 4: Simplify right side
    2,370.62x = 6,200,835.25
  5. Step 5: Solve for x
    x = 6,200,835.25/2,370.62
  6. Step 6: Final answer
    x = 2,615.71

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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.