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Finding the Fourth Proportional to 1,877.90, 2,814.42 and 1,260.68

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Solution

The fourth proportional to 1,877.90, 2,814.42 and 1,260.68 is: 1,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.90 : 2,814.42 = 1,260.68 : x
  2. Step 2: Convert to fraction form
    1,877.90/2,814.42 = 1,260.68/x
  3. Step 3: Cross multiply
    1,877.90x = 2,814.42 × 1,260.68
  4. Step 4: Simplify right side
    1,877.90x = 3,548,083.01
  5. Step 5: Solve for x
    x = 3,548,083.01/1,877.90
  6. Step 6: Final answer
    x = 1,889.39

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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.