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Finding the Fourth Proportional to 1,887.98, 2,819.24 and 1,541.99

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Solution

The fourth proportional to 1,887.98, 2,819.24 and 1,541.99 is: 2,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.98 : 2,819.24 = 1,541.99 : x
  2. Step 2: Convert to fraction form
    1,887.98/2,819.24 = 1,541.99/x
  3. Step 3: Cross multiply
    1,887.98x = 2,819.24 × 1,541.99
  4. Step 4: Simplify right side
    1,887.98x = 4,347,235.66
  5. Step 5: Solve for x
    x = 4,347,235.66/1,887.98
  6. Step 6: Final answer
    x = 2,302.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.