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Finding the Fourth Proportional to 3,093.81, 4,641.48 and 902.57

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Solution

The fourth proportional to 3,093.81, 4,641.48 and 902.57 is: 1,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.81 : 4,641.48 = 902.57 : x
  2. Step 2: Convert to fraction form
    3,093.81/4,641.48 = 902.57/x
  3. Step 3: Cross multiply
    3,093.81x = 4,641.48 × 902.57
  4. Step 4: Simplify right side
    3,093.81x = 4,189,237.40
  5. Step 5: Solve for x
    x = 4,189,237.40/3,093.81
  6. Step 6: Final answer
    x = 1,354.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.