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Finding the Fourth Proportional to 2,159.95, 3,241.23 and 773.18

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Solution

The fourth proportional to 2,159.95, 3,241.23 and 773.18 is: 1,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.95 : 3,241.23 = 773.18 : x
  2. Step 2: Convert to fraction form
    2,159.95/3,241.23 = 773.18/x
  3. Step 3: Cross multiply
    2,159.95x = 3,241.23 × 773.18
  4. Step 4: Simplify right side
    2,159.95x = 2,506,054.21
  5. Step 5: Solve for x
    x = 2,506,054.21/2,159.95
  6. Step 6: Final answer
    x = 1,160.24

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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.