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Finding the Fourth Proportional to 1,648.64, 2,484.40 and 1,633.92

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Solution

The fourth proportional to 1,648.64, 2,484.40 and 1,633.92 is: 2,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.64 : 2,484.40 = 1,633.92 : x
  2. Step 2: Convert to fraction form
    1,648.64/2,484.40 = 1,633.92/x
  3. Step 3: Cross multiply
    1,648.64x = 2,484.40 × 1,633.92
  4. Step 4: Simplify right side
    1,648.64x = 4,059,310.85
  5. Step 5: Solve for x
    x = 4,059,310.85/1,648.64
  6. Step 6: Final answer
    x = 2,462.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.