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Finding the Fourth Proportional to 2,023.64, 2,797.07 and 1,845.93

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Solution

The fourth proportional to 2,023.64, 2,797.07 and 1,845.93 is: 2,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.64 : 2,797.07 = 1,845.93 : x
  2. Step 2: Convert to fraction form
    2,023.64/2,797.07 = 1,845.93/x
  3. Step 3: Cross multiply
    2,023.64x = 2,797.07 × 1,845.93
  4. Step 4: Simplify right side
    2,023.64x = 5,163,195.43
  5. Step 5: Solve for x
    x = 5,163,195.43/2,023.64
  6. Step 6: Final answer
    x = 2,551.44

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1.5x scale

Why These Related Problems?

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