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Finding the Fourth Proportional to 2,130.82, 3,196.20 and 670.06

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Solution

The fourth proportional to 2,130.82, 3,196.20 and 670.06 is: 1,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.82 : 3,196.20 = 670.06 : x
  2. Step 2: Convert to fraction form
    2,130.82/3,196.20 = 670.06/x
  3. Step 3: Cross multiply
    2,130.82x = 3,196.20 × 670.06
  4. Step 4: Simplify right side
    2,130.82x = 2,141,645.77
  5. Step 5: Solve for x
    x = 2,141,645.77/2,130.82
  6. Step 6: Final answer
    x = 1,005.08

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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.