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Finding the Fourth Proportional to 2,668.06, 4,002.38 and 1,026

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Solution

The fourth proportional to 2,668.06, 4,002.38 and 1,026 is: 1,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.06 : 4,002.38 = 1,026 : x
  2. Step 2: Convert to fraction form
    2,668.06/4,002.38 = 1,026/x
  3. Step 3: Cross multiply
    2,668.06x = 4,002.38 × 1,026
  4. Step 4: Simplify right side
    2,668.06x = 4,106,441.88
  5. Step 5: Solve for x
    x = 4,106,441.88/2,668.06
  6. Step 6: Final answer
    x = 1,539.11

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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.