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Finding the Fourth Proportional to 2,074.36, 2,863.20 and 1,840

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Solution

The fourth proportional to 2,074.36, 2,863.20 and 1,840 is: 2,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.36 : 2,863.20 = 1,840 : x
  2. Step 2: Convert to fraction form
    2,074.36/2,863.20 = 1,840/x
  3. Step 3: Cross multiply
    2,074.36x = 2,863.20 × 1,840
  4. Step 4: Simplify right side
    2,074.36x = 5,268,288
  5. Step 5: Solve for x
    x = 5,268,288/2,074.36
  6. Step 6: Final answer
    x = 2,539.72

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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.