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Finding the Fourth Proportional to 2,595.39, 3,581.64 and 1,416.48

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Solution

The fourth proportional to 2,595.39, 3,581.64 and 1,416.48 is: 1,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.39 : 3,581.64 = 1,416.48 : x
  2. Step 2: Convert to fraction form
    2,595.39/3,581.64 = 1,416.48/x
  3. Step 3: Cross multiply
    2,595.39x = 3,581.64 × 1,416.48
  4. Step 4: Simplify right side
    2,595.39x = 5,073,321.43
  5. Step 5: Solve for x
    x = 5,073,321.43/2,595.39
  6. Step 6: Final answer
    x = 1,954.74

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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.