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Finding the Fourth Proportional to 2,696.22, 4,037.85 and 1,538.46

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Solution

The fourth proportional to 2,696.22, 4,037.85 and 1,538.46 is: 2,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.22 : 4,037.85 = 1,538.46 : x
  2. Step 2: Convert to fraction form
    2,696.22/4,037.85 = 1,538.46/x
  3. Step 3: Cross multiply
    2,696.22x = 4,037.85 × 1,538.46
  4. Step 4: Simplify right side
    2,696.22x = 6,212,070.71
  5. Step 5: Solve for x
    x = 6,212,070.71/2,696.22
  6. Step 6: Final answer
    x = 2,303.99

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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.