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Finding the Fourth Proportional to 1,421.91, 2,132.53 and 544.09

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Solution

The fourth proportional to 1,421.91, 2,132.53 and 544.09 is: 816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.91 : 2,132.53 = 544.09 : x
  2. Step 2: Convert to fraction form
    1,421.91/2,132.53 = 544.09/x
  3. Step 3: Cross multiply
    1,421.91x = 2,132.53 × 544.09
  4. Step 4: Simplify right side
    1,421.91x = 1,160,288.25
  5. Step 5: Solve for x
    x = 1,160,288.25/1,421.91
  6. Step 6: Final answer
    x = 816.01

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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.