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Finding the Fourth Proportional to 3,041.92, 4,563.60 and 1,580.74

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Solution

The fourth proportional to 3,041.92, 4,563.60 and 1,580.74 is: 2,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.92 : 4,563.60 = 1,580.74 : x
  2. Step 2: Convert to fraction form
    3,041.92/4,563.60 = 1,580.74/x
  3. Step 3: Cross multiply
    3,041.92x = 4,563.60 × 1,580.74
  4. Step 4: Simplify right side
    3,041.92x = 7,213,865.06
  5. Step 5: Solve for x
    x = 7,213,865.06/3,041.92
  6. Step 6: Final answer
    x = 2,371.48

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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.