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Finding the Fourth Proportional to 2,515.08, 3,771.18 and 974.28

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Solution

The fourth proportional to 2,515.08, 3,771.18 and 974.28 is: 1,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.08 : 3,771.18 = 974.28 : x
  2. Step 2: Convert to fraction form
    2,515.08/3,771.18 = 974.28/x
  3. Step 3: Cross multiply
    2,515.08x = 3,771.18 × 974.28
  4. Step 4: Simplify right side
    2,515.08x = 3,674,185.25
  5. Step 5: Solve for x
    x = 3,674,185.25/2,515.08
  6. Step 6: Final answer
    x = 1,460.86

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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.