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Finding the Fourth Proportional to 3,094.21, 4,641.51 and 902.75

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Solution

The fourth proportional to 3,094.21, 4,641.51 and 902.75 is: 1,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.21 : 4,641.51 = 902.75 : x
  2. Step 2: Convert to fraction form
    3,094.21/4,641.51 = 902.75/x
  3. Step 3: Cross multiply
    3,094.21x = 4,641.51 × 902.75
  4. Step 4: Simplify right side
    3,094.21x = 4,190,123.15
  5. Step 5: Solve for x
    x = 4,190,123.15/3,094.21
  6. Step 6: Final answer
    x = 1,354.18

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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.