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Finding the Fourth Proportional to 2,128.19, 3,192.68 and 666.95

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Solution

The fourth proportional to 2,128.19, 3,192.68 and 666.95 is: 1,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.19 : 3,192.68 = 666.95 : x
  2. Step 2: Convert to fraction form
    2,128.19/3,192.68 = 666.95/x
  3. Step 3: Cross multiply
    2,128.19x = 3,192.68 × 666.95
  4. Step 4: Simplify right side
    2,128.19x = 2,129,343.63
  5. Step 5: Solve for x
    x = 2,129,343.63/2,128.19
  6. Step 6: Final answer
    x = 1,000.54

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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.