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Finding the Fourth Proportional to 1,877.90, 2,815.43 and 1,467.90

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Solution

The fourth proportional to 1,877.90, 2,815.43 and 1,467.90 is: 2,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.90 : 2,815.43 = 1,467.90 : x
  2. Step 2: Convert to fraction form
    1,877.90/2,815.43 = 1,467.90/x
  3. Step 3: Cross multiply
    1,877.90x = 2,815.43 × 1,467.90
  4. Step 4: Simplify right side
    1,877.90x = 4,132,762.36
  5. Step 5: Solve for x
    x = 4,132,762.36/1,877.90
  6. Step 6: Final answer
    x = 2,200.74

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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.