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Finding the Fourth Proportional to 2,304.59, 3,177.83 and 1,641.20

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Solution

The fourth proportional to 2,304.59, 3,177.83 and 1,641.20 is: 2,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.59 : 3,177.83 = 1,641.20 : x
  2. Step 2: Convert to fraction form
    2,304.59/3,177.83 = 1,641.20/x
  3. Step 3: Cross multiply
    2,304.59x = 3,177.83 × 1,641.20
  4. Step 4: Simplify right side
    2,304.59x = 5,215,442.81
  5. Step 5: Solve for x
    x = 5,215,442.81/2,304.59
  6. Step 6: Final answer
    x = 2,263.07

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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.