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Finding the Fourth Proportional to 2,160.62, 3,241.13 and 1,300.40

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Solution

The fourth proportional to 2,160.62, 3,241.13 and 1,300.40 is: 1,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.62 : 3,241.13 = 1,300.40 : x
  2. Step 2: Convert to fraction form
    2,160.62/3,241.13 = 1,300.40/x
  3. Step 3: Cross multiply
    2,160.62x = 3,241.13 × 1,300.40
  4. Step 4: Simplify right side
    2,160.62x = 4,214,742.74
  5. Step 5: Solve for x
    x = 4,214,742.74/2,160.62
  6. Step 6: Final answer
    x = 1,950.71

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1.5x scale

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.