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Finding the Fourth Proportional to 1,827.44, 2,520.96 and 1,695.68

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Solution

The fourth proportional to 1,827.44, 2,520.96 and 1,695.68 is: 2,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.44 : 2,520.96 = 1,695.68 : x
  2. Step 2: Convert to fraction form
    1,827.44/2,520.96 = 1,695.68/x
  3. Step 3: Cross multiply
    1,827.44x = 2,520.96 × 1,695.68
  4. Step 4: Simplify right side
    1,827.44x = 4,274,741.45
  5. Step 5: Solve for x
    x = 4,274,741.45/1,827.44
  6. Step 6: Final answer
    x = 2,339.20

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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.