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Finding the Fourth Proportional to 2,684.60, 4,023.16 and 1,452.68

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Solution

The fourth proportional to 2,684.60, 4,023.16 and 1,452.68 is: 2,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.60 : 4,023.16 = 1,452.68 : x
  2. Step 2: Convert to fraction form
    2,684.60/4,023.16 = 1,452.68/x
  3. Step 3: Cross multiply
    2,684.60x = 4,023.16 × 1,452.68
  4. Step 4: Simplify right side
    2,684.60x = 5,844,364.07
  5. Step 5: Solve for x
    x = 5,844,364.07/2,684.60
  6. Step 6: Final answer
    x = 2,177.00

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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.