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Finding the Fourth Proportional to 2,464.88, 3,402.09 and 1,533.92

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Solution

The fourth proportional to 2,464.88, 3,402.09 and 1,533.92 is: 2,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.88 : 3,402.09 = 1,533.92 : x
  2. Step 2: Convert to fraction form
    2,464.88/3,402.09 = 1,533.92/x
  3. Step 3: Cross multiply
    2,464.88x = 3,402.09 × 1,533.92
  4. Step 4: Simplify right side
    2,464.88x = 5,218,516.88
  5. Step 5: Solve for x
    x = 5,218,516.88/2,464.88
  6. Step 6: Final answer
    x = 2,117.15

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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.