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Finding the Fourth Proportional to 2,768.02, 3,819.97 and 1,526.10

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Solution

The fourth proportional to 2,768.02, 3,819.97 and 1,526.10 is: 2,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.02 : 3,819.97 = 1,526.10 : x
  2. Step 2: Convert to fraction form
    2,768.02/3,819.97 = 1,526.10/x
  3. Step 3: Cross multiply
    2,768.02x = 3,819.97 × 1,526.10
  4. Step 4: Simplify right side
    2,768.02x = 5,829,656.22
  5. Step 5: Solve for x
    x = 5,829,656.22/2,768.02
  6. Step 6: Final answer
    x = 2,106.07

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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.