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Finding the Fourth Proportional to 2,046.01, 2,820.65 and 1,381.81

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Solution

The fourth proportional to 2,046.01, 2,820.65 and 1,381.81 is: 1,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.01 : 2,820.65 = 1,381.81 : x
  2. Step 2: Convert to fraction form
    2,046.01/2,820.65 = 1,381.81/x
  3. Step 3: Cross multiply
    2,046.01x = 2,820.65 × 1,381.81
  4. Step 4: Simplify right side
    2,046.01x = 3,897,588.27
  5. Step 5: Solve for x
    x = 3,897,588.27/2,046.01
  6. Step 6: Final answer
    x = 1,904.97

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