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Finding the Fourth Proportional to 1,589.52, 2,194.68 and 1,030.80

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Solution

The fourth proportional to 1,589.52, 2,194.68 and 1,030.80 is: 1,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.52 : 2,194.68 = 1,030.80 : x
  2. Step 2: Convert to fraction form
    1,589.52/2,194.68 = 1,030.80/x
  3. Step 3: Cross multiply
    1,589.52x = 2,194.68 × 1,030.80
  4. Step 4: Simplify right side
    1,589.52x = 2,262,276.14
  5. Step 5: Solve for x
    x = 2,262,276.14/1,589.52
  6. Step 6: Final answer
    x = 1,423.24

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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.