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Finding the Fourth Proportional to 2,192.64, 3,288.60 and 632.58

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Solution

The fourth proportional to 2,192.64, 3,288.60 and 632.58 is: 948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.64 : 3,288.60 = 632.58 : x
  2. Step 2: Convert to fraction form
    2,192.64/3,288.60 = 632.58/x
  3. Step 3: Cross multiply
    2,192.64x = 3,288.60 × 632.58
  4. Step 4: Simplify right side
    2,192.64x = 2,080,302.59
  5. Step 5: Solve for x
    x = 2,080,302.59/2,192.64
  6. Step 6: Final answer
    x = 948.77

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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.