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Finding the Fourth Proportional to 2,887.73, 4,331.99 and 1,038.50

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Solution

The fourth proportional to 2,887.73, 4,331.99 and 1,038.50 is: 1,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.73 : 4,331.99 = 1,038.50 : x
  2. Step 2: Convert to fraction form
    2,887.73/4,331.99 = 1,038.50/x
  3. Step 3: Cross multiply
    2,887.73x = 4,331.99 × 1,038.50
  4. Step 4: Simplify right side
    2,887.73x = 4,498,771.62
  5. Step 5: Solve for x
    x = 4,498,771.62/2,887.73
  6. Step 6: Final answer
    x = 1,557.89

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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.