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Finding the Fourth Proportional to 2,360.96, 3,541.47 and 900.19

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Solution

The fourth proportional to 2,360.96, 3,541.47 and 900.19 is: 1,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.96 : 3,541.47 = 900.19 : x
  2. Step 2: Convert to fraction form
    2,360.96/3,541.47 = 900.19/x
  3. Step 3: Cross multiply
    2,360.96x = 3,541.47 × 900.19
  4. Step 4: Simplify right side
    2,360.96x = 3,187,995.88
  5. Step 5: Solve for x
    x = 3,187,995.88/2,360.96
  6. Step 6: Final answer
    x = 1,350.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.