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Finding the Fourth Proportional to 2,503.64, 3,755.18 and 654.94

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Solution

The fourth proportional to 2,503.64, 3,755.18 and 654.94 is: 982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.64 : 3,755.18 = 654.94 : x
  2. Step 2: Convert to fraction form
    2,503.64/3,755.18 = 654.94/x
  3. Step 3: Cross multiply
    2,503.64x = 3,755.18 × 654.94
  4. Step 4: Simplify right side
    2,503.64x = 2,459,399.11
  5. Step 5: Solve for x
    x = 2,459,399.11/2,503.64
  6. Step 6: Final answer
    x = 982.33

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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.