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Finding the Fourth Proportional to 1,377.57, 1,901.48 and 881.54

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Solution

The fourth proportional to 1,377.57, 1,901.48 and 881.54 is: 1,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.57 : 1,901.48 = 881.54 : x
  2. Step 2: Convert to fraction form
    1,377.57/1,901.48 = 881.54/x
  3. Step 3: Cross multiply
    1,377.57x = 1,901.48 × 881.54
  4. Step 4: Simplify right side
    1,377.57x = 1,676,230.68
  5. Step 5: Solve for x
    x = 1,676,230.68/1,377.57
  6. Step 6: Final answer
    x = 1,216.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.