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Finding the Fourth Proportional to 1,442.07, 2,161.22 and 619.35

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Solution

The fourth proportional to 1,442.07, 2,161.22 and 619.35 is: 928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.07 : 2,161.22 = 619.35 : x
  2. Step 2: Convert to fraction form
    1,442.07/2,161.22 = 619.35/x
  3. Step 3: Cross multiply
    1,442.07x = 2,161.22 × 619.35
  4. Step 4: Simplify right side
    1,442.07x = 1,338,540.41
  5. Step 5: Solve for x
    x = 1,338,540.41/1,442.07
  6. Step 6: Final answer
    x = 928.21

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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.