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Finding the Fourth Proportional to 2,619.60, 3,615.09 and 1,500.64

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Solution

The fourth proportional to 2,619.60, 3,615.09 and 1,500.64 is: 2,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.60 : 3,615.09 = 1,500.64 : x
  2. Step 2: Convert to fraction form
    2,619.60/3,615.09 = 1,500.64/x
  3. Step 3: Cross multiply
    2,619.60x = 3,615.09 × 1,500.64
  4. Step 4: Simplify right side
    2,619.60x = 5,424,939.62
  5. Step 5: Solve for x
    x = 5,424,939.62/2,619.60
  6. Step 6: Final answer
    x = 2,070.90

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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.