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Finding the Fourth Proportional to 3,270.63, 4,513.47 and 1,873.65

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Solution

The fourth proportional to 3,270.63, 4,513.47 and 1,873.65 is: 2,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.63 : 4,513.47 = 1,873.65 : x
  2. Step 2: Convert to fraction form
    3,270.63/4,513.47 = 1,873.65/x
  3. Step 3: Cross multiply
    3,270.63x = 4,513.47 × 1,873.65
  4. Step 4: Simplify right side
    3,270.63x = 8,456,663.07
  5. Step 5: Solve for x
    x = 8,456,663.07/3,270.63
  6. Step 6: Final answer
    x = 2,585.64

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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.