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Finding the Fourth Proportional to 1,589.92, 2,193.64 and 1,030.41

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Solution

The fourth proportional to 1,589.92, 2,193.64 and 1,030.41 is: 1,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.92 : 2,193.64 = 1,030.41 : x
  2. Step 2: Convert to fraction form
    1,589.92/2,193.64 = 1,030.41/x
  3. Step 3: Cross multiply
    1,589.92x = 2,193.64 × 1,030.41
  4. Step 4: Simplify right side
    1,589.92x = 2,260,346.02
  5. Step 5: Solve for x
    x = 2,260,346.02/1,589.92
  6. Step 6: Final answer
    x = 1,421.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.