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Finding the Fourth Proportional to 2,392.96, 3,300.64 and 1,461.92

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Solution

The fourth proportional to 2,392.96, 3,300.64 and 1,461.92 is: 2,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.96 : 3,300.64 = 1,461.92 : x
  2. Step 2: Convert to fraction form
    2,392.96/3,300.64 = 1,461.92/x
  3. Step 3: Cross multiply
    2,392.96x = 3,300.64 × 1,461.92
  4. Step 4: Simplify right side
    2,392.96x = 4,825,271.63
  5. Step 5: Solve for x
    x = 4,825,271.63/2,392.96
  6. Step 6: Final answer
    x = 2,016.44

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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.