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Finding the Fourth Proportional to 2,513.48, 3,770.63 and 1,052.74

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Solution

The fourth proportional to 2,513.48, 3,770.63 and 1,052.74 is: 1,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.48 : 3,770.63 = 1,052.74 : x
  2. Step 2: Convert to fraction form
    2,513.48/3,770.63 = 1,052.74/x
  3. Step 3: Cross multiply
    2,513.48x = 3,770.63 × 1,052.74
  4. Step 4: Simplify right side
    2,513.48x = 3,969,486.23
  5. Step 5: Solve for x
    x = 3,969,486.23/2,513.48
  6. Step 6: Final answer
    x = 1,579.28

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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.