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Finding the Fourth Proportional to 2,945.66, 4,064.00 and 1,826.20

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Solution

The fourth proportional to 2,945.66, 4,064.00 and 1,826.20 is: 2,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.66 : 4,064.00 = 1,826.20 : x
  2. Step 2: Convert to fraction form
    2,945.66/4,064.00 = 1,826.20/x
  3. Step 3: Cross multiply
    2,945.66x = 4,064.00 × 1,826.20
  4. Step 4: Simplify right side
    2,945.66x = 7,421,671.21
  5. Step 5: Solve for x
    x = 7,421,671.21/2,945.66
  6. Step 6: Final answer
    x = 2,519.53

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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.