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Finding the Fourth Proportional to 2,310.64, 3,191.02 and 1,471.72

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Solution

The fourth proportional to 2,310.64, 3,191.02 and 1,471.72 is: 2,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.64 : 3,191.02 = 1,471.72 : x
  2. Step 2: Convert to fraction form
    2,310.64/3,191.02 = 1,471.72/x
  3. Step 3: Cross multiply
    2,310.64x = 3,191.02 × 1,471.72
  4. Step 4: Simplify right side
    2,310.64x = 4,696,291.26
  5. Step 5: Solve for x
    x = 4,696,291.26/2,310.64
  6. Step 6: Final answer
    x = 2,032.46

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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.