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Finding the Fourth Proportional to 3,097.42, 4,275.41 and 2,090.59

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Solution

The fourth proportional to 3,097.42, 4,275.41 and 2,090.59 is: 2,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.42 : 4,275.41 = 2,090.59 : x
  2. Step 2: Convert to fraction form
    3,097.42/4,275.41 = 2,090.59/x
  3. Step 3: Cross multiply
    3,097.42x = 4,275.41 × 2,090.59
  4. Step 4: Simplify right side
    3,097.42x = 8,938,129.39
  5. Step 5: Solve for x
    x = 8,938,129.39/3,097.42
  6. Step 6: Final answer
    x = 2,885.67

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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.