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Finding the Fourth Proportional to 2,130.64, 3,195.96 and 669.93

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Solution

The fourth proportional to 2,130.64, 3,195.96 and 669.93 is: 1,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.64 : 3,195.96 = 669.93 : x
  2. Step 2: Convert to fraction form
    2,130.64/3,195.96 = 669.93/x
  3. Step 3: Cross multiply
    2,130.64x = 3,195.96 × 669.93
  4. Step 4: Simplify right side
    2,130.64x = 2,141,069.48
  5. Step 5: Solve for x
    x = 2,141,069.48/2,130.64
  6. Step 6: Final answer
    x = 1,004.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.