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Finding the Fourth Proportional to 3,050.54, 4,575.80 and 742.04

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Solution

The fourth proportional to 3,050.54, 4,575.80 and 742.04 is: 1,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.54 : 4,575.80 = 742.04 : x
  2. Step 2: Convert to fraction form
    3,050.54/4,575.80 = 742.04/x
  3. Step 3: Cross multiply
    3,050.54x = 4,575.80 × 742.04
  4. Step 4: Simplify right side
    3,050.54x = 3,395,400.04
  5. Step 5: Solve for x
    x = 3,395,400.04/3,050.54
  6. Step 6: Final answer
    x = 1,113.05

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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.