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Finding the Fourth Proportional to 3,083.63, 4,625.44 and 1,031.63

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Solution

The fourth proportional to 3,083.63, 4,625.44 and 1,031.63 is: 1,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.63 : 4,625.44 = 1,031.63 : x
  2. Step 2: Convert to fraction form
    3,083.63/4,625.44 = 1,031.63/x
  3. Step 3: Cross multiply
    3,083.63x = 4,625.44 × 1,031.63
  4. Step 4: Simplify right side
    3,083.63x = 4,771,716.96
  5. Step 5: Solve for x
    x = 4,771,716.96/3,083.63
  6. Step 6: Final answer
    x = 1,547.44

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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.