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Finding the Fourth Proportional to 1,602.24, 2,407.41 and 1,537.44

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Solution

The fourth proportional to 1,602.24, 2,407.41 and 1,537.44 is: 2,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.24 : 2,407.41 = 1,537.44 : x
  2. Step 2: Convert to fraction form
    1,602.24/2,407.41 = 1,537.44/x
  3. Step 3: Cross multiply
    1,602.24x = 2,407.41 × 1,537.44
  4. Step 4: Simplify right side
    1,602.24x = 3,701,248.43
  5. Step 5: Solve for x
    x = 3,701,248.43/1,602.24
  6. Step 6: Final answer
    x = 2,310.05

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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.