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Finding the Fourth Proportional to 2,402.12, 3,315.42 and 1,407.92

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Solution

The fourth proportional to 2,402.12, 3,315.42 and 1,407.92 is: 1,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.12 : 3,315.42 = 1,407.92 : x
  2. Step 2: Convert to fraction form
    2,402.12/3,315.42 = 1,407.92/x
  3. Step 3: Cross multiply
    2,402.12x = 3,315.42 × 1,407.92
  4. Step 4: Simplify right side
    2,402.12x = 4,667,846.13
  5. Step 5: Solve for x
    x = 4,667,846.13/2,402.12
  6. Step 6: Final answer
    x = 1,943.22

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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.