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Finding the Fourth Proportional to 1,633.74, 2,455.47 and 1,513.05

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Solution

The fourth proportional to 1,633.74, 2,455.47 and 1,513.05 is: 2,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.74 : 2,455.47 = 1,513.05 : x
  2. Step 2: Convert to fraction form
    1,633.74/2,455.47 = 1,513.05/x
  3. Step 3: Cross multiply
    1,633.74x = 2,455.47 × 1,513.05
  4. Step 4: Simplify right side
    1,633.74x = 3,715,248.88
  5. Step 5: Solve for x
    x = 3,715,248.88/1,633.74
  6. Step 6: Final answer
    x = 2,274.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.