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Finding the Fourth Proportional to 2,011.96, 2,774.64 and 1,381.37

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Solution

The fourth proportional to 2,011.96, 2,774.64 and 1,381.37 is: 1,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.96 : 2,774.64 = 1,381.37 : x
  2. Step 2: Convert to fraction form
    2,011.96/2,774.64 = 1,381.37/x
  3. Step 3: Cross multiply
    2,011.96x = 2,774.64 × 1,381.37
  4. Step 4: Simplify right side
    2,011.96x = 3,832,804.46
  5. Step 5: Solve for x
    x = 3,832,804.46/2,011.96
  6. Step 6: Final answer
    x = 1,905.01

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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.