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Finding the Fourth Proportional to 2,068.23, 3,101.22 and 972.03

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Solution

The fourth proportional to 2,068.23, 3,101.22 and 972.03 is: 1,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.23 : 3,101.22 = 972.03 : x
  2. Step 2: Convert to fraction form
    2,068.23/3,101.22 = 972.03/x
  3. Step 3: Cross multiply
    2,068.23x = 3,101.22 × 972.03
  4. Step 4: Simplify right side
    2,068.23x = 3,014,478.88
  5. Step 5: Solve for x
    x = 3,014,478.88/2,068.23
  6. Step 6: Final answer
    x = 1,457.52

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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.