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Finding the Fourth Proportional to 1,451.30, 2,176.34 and 681.26

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Solution

The fourth proportional to 1,451.30, 2,176.34 and 681.26 is: 1,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.30 : 2,176.34 = 681.26 : x
  2. Step 2: Convert to fraction form
    1,451.30/2,176.34 = 681.26/x
  3. Step 3: Cross multiply
    1,451.30x = 2,176.34 × 681.26
  4. Step 4: Simplify right side
    1,451.30x = 1,482,653.39
  5. Step 5: Solve for x
    x = 1,482,653.39/1,451.30
  6. Step 6: Final answer
    x = 1,021.60

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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.