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Finding the Fourth Proportional to 2,546.57, 3,513.96 and 1,484.57

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Solution

The fourth proportional to 2,546.57, 3,513.96 and 1,484.57 is: 2,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.57 : 3,513.96 = 1,484.57 : x
  2. Step 2: Convert to fraction form
    2,546.57/3,513.96 = 1,484.57/x
  3. Step 3: Cross multiply
    2,546.57x = 3,513.96 × 1,484.57
  4. Step 4: Simplify right side
    2,546.57x = 5,216,719.60
  5. Step 5: Solve for x
    x = 5,216,719.60/2,546.57
  6. Step 6: Final answer
    x = 2,048.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.