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Finding the Fourth Proportional to 1,400.12, 2,100.64 and 669.75

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Solution

The fourth proportional to 1,400.12, 2,100.64 and 669.75 is: 1,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.12 : 2,100.64 = 669.75 : x
  2. Step 2: Convert to fraction form
    1,400.12/2,100.64 = 669.75/x
  3. Step 3: Cross multiply
    1,400.12x = 2,100.64 × 669.75
  4. Step 4: Simplify right side
    1,400.12x = 1,406,901.97
  5. Step 5: Solve for x
    x = 1,406,901.97/1,400.12
  6. Step 6: Final answer
    x = 1,004.84

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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.