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Finding the Fourth Proportional to 2,362.46, 3,541.37 and 880.59

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Solution

The fourth proportional to 2,362.46, 3,541.37 and 880.59 is: 1,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.46 : 3,541.37 = 880.59 : x
  2. Step 2: Convert to fraction form
    2,362.46/3,541.37 = 880.59/x
  3. Step 3: Cross multiply
    2,362.46x = 3,541.37 × 880.59
  4. Step 4: Simplify right side
    2,362.46x = 3,118,508.84
  5. Step 5: Solve for x
    x = 3,118,508.84/2,362.46
  6. Step 6: Final answer
    x = 1,320.03

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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.