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Finding the Fourth Proportional to 2,130.77, 3,196.29 and 669.98

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Solution

The fourth proportional to 2,130.77, 3,196.29 and 669.98 is: 1,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.77 : 3,196.29 = 669.98 : x
  2. Step 2: Convert to fraction form
    2,130.77/3,196.29 = 669.98/x
  3. Step 3: Cross multiply
    2,130.77x = 3,196.29 × 669.98
  4. Step 4: Simplify right side
    2,130.77x = 2,141,450.37
  5. Step 5: Solve for x
    x = 2,141,450.37/2,130.77
  6. Step 6: Final answer
    x = 1,005.01

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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.