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Finding the Fourth Proportional to 1,826.66, 2,524.13 and 1,301.78

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Solution

The fourth proportional to 1,826.66, 2,524.13 and 1,301.78 is: 1,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.66 : 2,524.13 = 1,301.78 : x
  2. Step 2: Convert to fraction form
    1,826.66/2,524.13 = 1,301.78/x
  3. Step 3: Cross multiply
    1,826.66x = 2,524.13 × 1,301.78
  4. Step 4: Simplify right side
    1,826.66x = 3,285,861.95
  5. Step 5: Solve for x
    x = 3,285,861.95/1,826.66
  6. Step 6: Final answer
    x = 1,798.84

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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.