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Finding the Fourth Proportional to 3,094.68, 4,641.95 and 754.70

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Solution

The fourth proportional to 3,094.68, 4,641.95 and 754.70 is: 1,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.68 : 4,641.95 = 754.70 : x
  2. Step 2: Convert to fraction form
    3,094.68/4,641.95 = 754.70/x
  3. Step 3: Cross multiply
    3,094.68x = 4,641.95 × 754.70
  4. Step 4: Simplify right side
    3,094.68x = 3,503,266.17
  5. Step 5: Solve for x
    x = 3,503,266.17/3,094.68
  6. Step 6: Final answer
    x = 1,132.03

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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.