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Finding the Fourth Proportional to 2,996.42, 4,495.16 and 1,353.74

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Solution

The fourth proportional to 2,996.42, 4,495.16 and 1,353.74 is: 2,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.42 : 4,495.16 = 1,353.74 : x
  2. Step 2: Convert to fraction form
    2,996.42/4,495.16 = 1,353.74/x
  3. Step 3: Cross multiply
    2,996.42x = 4,495.16 × 1,353.74
  4. Step 4: Simplify right side
    2,996.42x = 6,085,258.81
  5. Step 5: Solve for x
    x = 6,085,258.81/2,996.42
  6. Step 6: Final answer
    x = 2,030.85

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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.