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Finding the Fourth Proportional to 1,915, 2,873.85 and 761.02

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Solution

The fourth proportional to 1,915, 2,873.85 and 761.02 is: 1,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915 : 2,873.85 = 761.02 : x
  2. Step 2: Convert to fraction form
    1,915/2,873.85 = 761.02/x
  3. Step 3: Cross multiply
    1,915x = 2,873.85 × 761.02
  4. Step 4: Simplify right side
    1,915x = 2,187,057.33
  5. Step 5: Solve for x
    x = 2,187,057.33/1,915
  6. Step 6: Final answer
    x = 1,142.07

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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.