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Finding the Fourth Proportional to 1,851.31, 2,778.34 and 877.42

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Solution

The fourth proportional to 1,851.31, 2,778.34 and 877.42 is: 1,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.31 : 2,778.34 = 877.42 : x
  2. Step 2: Convert to fraction form
    1,851.31/2,778.34 = 877.42/x
  3. Step 3: Cross multiply
    1,851.31x = 2,778.34 × 877.42
  4. Step 4: Simplify right side
    1,851.31x = 2,437,752.80
  5. Step 5: Solve for x
    x = 2,437,752.80/1,851.31
  6. Step 6: Final answer
    x = 1,316.77

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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.