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Finding the Fourth Proportional to 3,068.48, 4,234.28 and 1,742.22

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Solution

The fourth proportional to 3,068.48, 4,234.28 and 1,742.22 is: 2,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.48 : 4,234.28 = 1,742.22 : x
  2. Step 2: Convert to fraction form
    3,068.48/4,234.28 = 1,742.22/x
  3. Step 3: Cross multiply
    3,068.48x = 4,234.28 × 1,742.22
  4. Step 4: Simplify right side
    3,068.48x = 7,377,047.30
  5. Step 5: Solve for x
    x = 7,377,047.30/3,068.48
  6. Step 6: Final answer
    x = 2,404.14

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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.