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Finding the Fourth Proportional to 2,068.17, 3,099.74 and 971.07

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Solution

The fourth proportional to 2,068.17, 3,099.74 and 971.07 is: 1,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.17 : 3,099.74 = 971.07 : x
  2. Step 2: Convert to fraction form
    2,068.17/3,099.74 = 971.07/x
  3. Step 3: Cross multiply
    2,068.17x = 3,099.74 × 971.07
  4. Step 4: Simplify right side
    2,068.17x = 3,010,059.67
  5. Step 5: Solve for x
    x = 3,010,059.67/2,068.17
  6. Step 6: Final answer
    x = 1,455.42

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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.