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Finding the Fourth Proportional to 1,377.79, 1,900.20 and 880.45

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Solution

The fourth proportional to 1,377.79, 1,900.20 and 880.45 is: 1,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.79 : 1,900.20 = 880.45 : x
  2. Step 2: Convert to fraction form
    1,377.79/1,900.20 = 880.45/x
  3. Step 3: Cross multiply
    1,377.79x = 1,900.20 × 880.45
  4. Step 4: Simplify right side
    1,377.79x = 1,673,031.09
  5. Step 5: Solve for x
    x = 1,673,031.09/1,377.79
  6. Step 6: Final answer
    x = 1,214.29

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