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Finding the Fourth Proportional to 3,243.60, 4,475.72 and 1,827.10

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Solution

The fourth proportional to 3,243.60, 4,475.72 and 1,827.10 is: 2,521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.60 : 4,475.72 = 1,827.10 : x
  2. Step 2: Convert to fraction form
    3,243.60/4,475.72 = 1,827.10/x
  3. Step 3: Cross multiply
    3,243.60x = 4,475.72 × 1,827.10
  4. Step 4: Simplify right side
    3,243.60x = 8,177,588.01
  5. Step 5: Solve for x
    x = 8,177,588.01/3,243.60
  6. Step 6: Final answer
    x = 2,521.15

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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.