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Finding the Fourth Proportional to 2,513.60, 3,771.09 and 1,052.40

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Solution

The fourth proportional to 2,513.60, 3,771.09 and 1,052.40 is: 1,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.60 : 3,771.09 = 1,052.40 : x
  2. Step 2: Convert to fraction form
    2,513.60/3,771.09 = 1,052.40/x
  3. Step 3: Cross multiply
    2,513.60x = 3,771.09 × 1,052.40
  4. Step 4: Simplify right side
    2,513.60x = 3,968,695.12
  5. Step 5: Solve for x
    x = 3,968,695.12/2,513.60
  6. Step 6: Final answer
    x = 1,578.89

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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.