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Finding the Fourth Proportional to 2,505.04, 3,757.65 and 861.58

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Solution

The fourth proportional to 2,505.04, 3,757.65 and 861.58 is: 1,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.04 : 3,757.65 = 861.58 : x
  2. Step 2: Convert to fraction form
    2,505.04/3,757.65 = 861.58/x
  3. Step 3: Cross multiply
    2,505.04x = 3,757.65 × 861.58
  4. Step 4: Simplify right side
    2,505.04x = 3,237,492.99
  5. Step 5: Solve for x
    x = 3,237,492.99/2,505.04
  6. Step 6: Final answer
    x = 1,292.39

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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.