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Finding the Fourth Proportional to 2,130.84, 3,196.80 and 832.14

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Solution

The fourth proportional to 2,130.84, 3,196.80 and 832.14 is: 1,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.84 : 3,196.80 = 832.14 : x
  2. Step 2: Convert to fraction form
    2,130.84/3,196.80 = 832.14/x
  3. Step 3: Cross multiply
    2,130.84x = 3,196.80 × 832.14
  4. Step 4: Simplify right side
    2,130.84x = 2,660,185.15
  5. Step 5: Solve for x
    x = 2,660,185.15/2,130.84
  6. Step 6: Final answer
    x = 1,248.42

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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.