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Finding the Fourth Proportional to 2,068.56, 3,104.06 and 973.71

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Solution

The fourth proportional to 2,068.56, 3,104.06 and 973.71 is: 1,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.56 : 3,104.06 = 973.71 : x
  2. Step 2: Convert to fraction form
    2,068.56/3,104.06 = 973.71/x
  3. Step 3: Cross multiply
    2,068.56x = 3,104.06 × 973.71
  4. Step 4: Simplify right side
    2,068.56x = 3,022,449.39
  5. Step 5: Solve for x
    x = 3,022,449.39/2,068.56
  6. Step 6: Final answer
    x = 1,461.14

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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.