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Finding the Fourth Proportional to 2,145, 2,960.10 and 1,213.68

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Solution

The fourth proportional to 2,145, 2,960.10 and 1,213.68 is: 1,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145 : 2,960.10 = 1,213.68 : x
  2. Step 2: Convert to fraction form
    2,145/2,960.10 = 1,213.68/x
  3. Step 3: Cross multiply
    2,145x = 2,960.10 × 1,213.68
  4. Step 4: Simplify right side
    2,145x = 3,592,614.17
  5. Step 5: Solve for x
    x = 3,592,614.17/2,145
  6. Step 6: Final answer
    x = 1,674.88

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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.