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Finding the Fourth Proportional to 2,308.64, 3,182.72 and 1,561.41

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Solution

The fourth proportional to 2,308.64, 3,182.72 and 1,561.41 is: 2,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.64 : 3,182.72 = 1,561.41 : x
  2. Step 2: Convert to fraction form
    2,308.64/3,182.72 = 1,561.41/x
  3. Step 3: Cross multiply
    2,308.64x = 3,182.72 × 1,561.41
  4. Step 4: Simplify right side
    2,308.64x = 4,969,523.03
  5. Step 5: Solve for x
    x = 4,969,523.03/2,308.64
  6. Step 6: Final answer
    x = 2,152.58

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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.