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Finding the Fourth Proportional to 2,170.64, 3,255.96 and 632.72

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Solution

The fourth proportional to 2,170.64, 3,255.96 and 632.72 is: 949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.64 : 3,255.96 = 632.72 : x
  2. Step 2: Convert to fraction form
    2,170.64/3,255.96 = 632.72/x
  3. Step 3: Cross multiply
    2,170.64x = 3,255.96 × 632.72
  4. Step 4: Simplify right side
    2,170.64x = 2,060,111.01
  5. Step 5: Solve for x
    x = 2,060,111.01/2,170.64
  6. Step 6: Final answer
    x = 949.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.