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Finding the Fourth Proportional to 2,095.81, 3,128.02 and 2,061.21

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Solution

The fourth proportional to 2,095.81, 3,128.02 and 2,061.21 is: 3,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.81 : 3,128.02 = 2,061.21 : x
  2. Step 2: Convert to fraction form
    2,095.81/3,128.02 = 2,061.21/x
  3. Step 3: Cross multiply
    2,095.81x = 3,128.02 × 2,061.21
  4. Step 4: Simplify right side
    2,095.81x = 6,447,506.68
  5. Step 5: Solve for x
    x = 6,447,506.68/2,095.81
  6. Step 6: Final answer
    x = 3,076.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.