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Finding the Fourth Proportional to 2,392.48, 3,302.16 and 1,461.92

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Solution

The fourth proportional to 2,392.48, 3,302.16 and 1,461.92 is: 2,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.48 : 3,302.16 = 1,461.92 : x
  2. Step 2: Convert to fraction form
    2,392.48/3,302.16 = 1,461.92/x
  3. Step 3: Cross multiply
    2,392.48x = 3,302.16 × 1,461.92
  4. Step 4: Simplify right side
    2,392.48x = 4,827,493.75
  5. Step 5: Solve for x
    x = 4,827,493.75/2,392.48
  6. Step 6: Final answer
    x = 2,017.78

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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.