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Finding the Fourth Proportional to 2,083.96, 2,875 and 1,337.76

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Solution

The fourth proportional to 2,083.96, 2,875 and 1,337.76 is: 1,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.96 : 2,875 = 1,337.76 : x
  2. Step 2: Convert to fraction form
    2,083.96/2,875 = 1,337.76/x
  3. Step 3: Cross multiply
    2,083.96x = 2,875 × 1,337.76
  4. Step 4: Simplify right side
    2,083.96x = 3,846,060
  5. Step 5: Solve for x
    x = 3,846,060/2,083.96
  6. Step 6: Final answer
    x = 1,845.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.