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Finding the Fourth Proportional to 1,427.07, 2,140.85 and 453.41

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Solution

The fourth proportional to 1,427.07, 2,140.85 and 453.41 is: 680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.07 : 2,140.85 = 453.41 : x
  2. Step 2: Convert to fraction form
    1,427.07/2,140.85 = 453.41/x
  3. Step 3: Cross multiply
    1,427.07x = 2,140.85 × 453.41
  4. Step 4: Simplify right side
    1,427.07x = 970,682.80
  5. Step 5: Solve for x
    x = 970,682.80/1,427.07
  6. Step 6: Final answer
    x = 680.19

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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.