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Finding the Fourth Proportional to 2,407.51, 3,318.73 and 1,882.63

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Solution

The fourth proportional to 2,407.51, 3,318.73 and 1,882.63 is: 2,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.51 : 3,318.73 = 1,882.63 : x
  2. Step 2: Convert to fraction form
    2,407.51/3,318.73 = 1,882.63/x
  3. Step 3: Cross multiply
    2,407.51x = 3,318.73 × 1,882.63
  4. Step 4: Simplify right side
    2,407.51x = 6,247,940.66
  5. Step 5: Solve for x
    x = 6,247,940.66/2,407.51
  6. Step 6: Final answer
    x = 2,595.19

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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.