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Finding the Fourth Proportional to 2,513.96, 3,770.32 and 1,053.12

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Solution

The fourth proportional to 2,513.96, 3,770.32 and 1,053.12 is: 1,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.96 : 3,770.32 = 1,053.12 : x
  2. Step 2: Convert to fraction form
    2,513.96/3,770.32 = 1,053.12/x
  3. Step 3: Cross multiply
    2,513.96x = 3,770.32 × 1,053.12
  4. Step 4: Simplify right side
    2,513.96x = 3,970,599.40
  5. Step 5: Solve for x
    x = 3,970,599.40/2,513.96
  6. Step 6: Final answer
    x = 1,579.42

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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.