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Finding the Fourth Proportional to 1,830.10, 2,743.34 and 963.58

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Solution

The fourth proportional to 1,830.10, 2,743.34 and 963.58 is: 1,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.10 : 2,743.34 = 963.58 : x
  2. Step 2: Convert to fraction form
    1,830.10/2,743.34 = 963.58/x
  3. Step 3: Cross multiply
    1,830.10x = 2,743.34 × 963.58
  4. Step 4: Simplify right side
    1,830.10x = 2,643,427.56
  5. Step 5: Solve for x
    x = 2,643,427.56/1,830.10
  6. Step 6: Final answer
    x = 1,444.42

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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.