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Finding the Fourth Proportional to 2,093.64, 2,887.05 and 1,795.91

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Solution

The fourth proportional to 2,093.64, 2,887.05 and 1,795.91 is: 2,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.64 : 2,887.05 = 1,795.91 : x
  2. Step 2: Convert to fraction form
    2,093.64/2,887.05 = 1,795.91/x
  3. Step 3: Cross multiply
    2,093.64x = 2,887.05 × 1,795.91
  4. Step 4: Simplify right side
    2,093.64x = 5,184,881.97
  5. Step 5: Solve for x
    x = 5,184,881.97/2,093.64
  6. Step 6: Final answer
    x = 2,476.49

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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.