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Finding the Fourth Proportional to 2,503.48, 3,757.56 and 1,271.77

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Solution

The fourth proportional to 2,503.48, 3,757.56 and 1,271.77 is: 1,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.48 : 3,757.56 = 1,271.77 : x
  2. Step 2: Convert to fraction form
    2,503.48/3,757.56 = 1,271.77/x
  3. Step 3: Cross multiply
    2,503.48x = 3,757.56 × 1,271.77
  4. Step 4: Simplify right side
    2,503.48x = 4,778,752.08
  5. Step 5: Solve for x
    x = 4,778,752.08/2,503.48
  6. Step 6: Final answer
    x = 1,908.84

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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.