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Finding the Fourth Proportional to 2,068.76, 2,849.01 and 1,819.99

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Solution

The fourth proportional to 2,068.76, 2,849.01 and 1,819.99 is: 2,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.76 : 2,849.01 = 1,819.99 : x
  2. Step 2: Convert to fraction form
    2,068.76/2,849.01 = 1,819.99/x
  3. Step 3: Cross multiply
    2,068.76x = 2,849.01 × 1,819.99
  4. Step 4: Simplify right side
    2,068.76x = 5,185,155.46
  5. Step 5: Solve for x
    x = 5,185,155.46/2,068.76
  6. Step 6: Final answer
    x = 2,506.41

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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.