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Finding the Fourth Proportional to 2,548.64, 3,517.08 and 1,500.50

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Solution

The fourth proportional to 2,548.64, 3,517.08 and 1,500.50 is: 2,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.64 : 3,517.08 = 1,500.50 : x
  2. Step 2: Convert to fraction form
    2,548.64/3,517.08 = 1,500.50/x
  3. Step 3: Cross multiply
    2,548.64x = 3,517.08 × 1,500.50
  4. Step 4: Simplify right side
    2,548.64x = 5,277,378.54
  5. Step 5: Solve for x
    x = 5,277,378.54/2,548.64
  6. Step 6: Final answer
    x = 2,070.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.