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Finding the Fourth Proportional to 2,302.58, 3,454.20 and 742.22

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Solution

The fourth proportional to 2,302.58, 3,454.20 and 742.22 is: 1,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.58 : 3,454.20 = 742.22 : x
  2. Step 2: Convert to fraction form
    2,302.58/3,454.20 = 742.22/x
  3. Step 3: Cross multiply
    2,302.58x = 3,454.20 × 742.22
  4. Step 4: Simplify right side
    2,302.58x = 2,563,776.32
  5. Step 5: Solve for x
    x = 2,563,776.32/2,302.58
  6. Step 6: Final answer
    x = 1,113.44

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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.