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Finding the Fourth Proportional to 1,400.29, 2,100.43 and 669.47

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Solution

The fourth proportional to 1,400.29, 2,100.43 and 669.47 is: 1,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.29 : 2,100.43 = 669.47 : x
  2. Step 2: Convert to fraction form
    1,400.29/2,100.43 = 669.47/x
  3. Step 3: Cross multiply
    1,400.29x = 2,100.43 × 669.47
  4. Step 4: Simplify right side
    1,400.29x = 1,406,165.21
  5. Step 5: Solve for x
    x = 1,406,165.21/1,400.29
  6. Step 6: Final answer
    x = 1,004.20

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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.