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Finding the Fourth Proportional to 2,392.88, 3,302.76 and 1,462.16

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Solution

The fourth proportional to 2,392.88, 3,302.76 and 1,462.16 is: 2,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.88 : 3,302.76 = 1,462.16 : x
  2. Step 2: Convert to fraction form
    2,392.88/3,302.76 = 1,462.16/x
  3. Step 3: Cross multiply
    2,392.88x = 3,302.76 × 1,462.16
  4. Step 4: Simplify right side
    2,392.88x = 4,829,163.56
  5. Step 5: Solve for x
    x = 4,829,163.56/2,392.88
  6. Step 6: Final answer
    x = 2,018.14

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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.