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Finding the Fourth Proportional to 3,242.81, 4,475.01 and 1,826.49

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Solution

The fourth proportional to 3,242.81, 4,475.01 and 1,826.49 is: 2,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.81 : 4,475.01 = 1,826.49 : x
  2. Step 2: Convert to fraction form
    3,242.81/4,475.01 = 1,826.49/x
  3. Step 3: Cross multiply
    3,242.81x = 4,475.01 × 1,826.49
  4. Step 4: Simplify right side
    3,242.81x = 8,173,561.01
  5. Step 5: Solve for x
    x = 8,173,561.01/3,242.81
  6. Step 6: Final answer
    x = 2,520.52

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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.