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Finding the Fourth Proportional to 3,009.67, 4,514.64 and 1,365.10

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Solution

The fourth proportional to 3,009.67, 4,514.64 and 1,365.10 is: 2,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.67 : 4,514.64 = 1,365.10 : x
  2. Step 2: Convert to fraction form
    3,009.67/4,514.64 = 1,365.10/x
  3. Step 3: Cross multiply
    3,009.67x = 4,514.64 × 1,365.10
  4. Step 4: Simplify right side
    3,009.67x = 6,162,935.06
  5. Step 5: Solve for x
    x = 6,162,935.06/3,009.67
  6. Step 6: Final answer
    x = 2,047.71

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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.