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Finding the Fourth Proportional to 1,876.53, 2,811.21 and 1,052.31

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Solution

The fourth proportional to 1,876.53, 2,811.21 and 1,052.31 is: 1,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.53 : 2,811.21 = 1,052.31 : x
  2. Step 2: Convert to fraction form
    1,876.53/2,811.21 = 1,052.31/x
  3. Step 3: Cross multiply
    1,876.53x = 2,811.21 × 1,052.31
  4. Step 4: Simplify right side
    1,876.53x = 2,958,264.40
  5. Step 5: Solve for x
    x = 2,958,264.40/1,876.53
  6. Step 6: Final answer
    x = 1,576.45

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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.