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Finding the Fourth Proportional to 1,421.97, 2,130.12 and 689.33

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Solution

The fourth proportional to 1,421.97, 2,130.12 and 689.33 is: 1,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.97 : 2,130.12 = 689.33 : x
  2. Step 2: Convert to fraction form
    1,421.97/2,130.12 = 689.33/x
  3. Step 3: Cross multiply
    1,421.97x = 2,130.12 × 689.33
  4. Step 4: Simplify right side
    1,421.97x = 1,468,344.97
  5. Step 5: Solve for x
    x = 1,468,344.97/1,421.97
  6. Step 6: Final answer
    x = 1,032.61

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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.