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Finding the Fourth Proportional to 1,859.08, 2,546 and 1,834.78

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Solution

The fourth proportional to 1,859.08, 2,546 and 1,834.78 is: 2,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.08 : 2,546 = 1,834.78 : x
  2. Step 2: Convert to fraction form
    1,859.08/2,546 = 1,834.78/x
  3. Step 3: Cross multiply
    1,859.08x = 2,546 × 1,834.78
  4. Step 4: Simplify right side
    1,859.08x = 4,671,349.88
  5. Step 5: Solve for x
    x = 4,671,349.88/1,859.08
  6. Step 6: Final answer
    x = 2,512.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.