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Finding the Fourth Proportional to 1,877.81, 2,812.14 and 1,828.59

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Solution

The fourth proportional to 1,877.81, 2,812.14 and 1,828.59 is: 2,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.81 : 2,812.14 = 1,828.59 : x
  2. Step 2: Convert to fraction form
    1,877.81/2,812.14 = 1,828.59/x
  3. Step 3: Cross multiply
    1,877.81x = 2,812.14 × 1,828.59
  4. Step 4: Simplify right side
    1,877.81x = 5,142,251.08
  5. Step 5: Solve for x
    x = 5,142,251.08/1,877.81
  6. Step 6: Final answer
    x = 2,738.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.