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Finding the Fourth Proportional to 1,315.90, 1,817.82 and 1,052.10

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Solution

The fourth proportional to 1,315.90, 1,817.82 and 1,052.10 is: 1,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.90 : 1,817.82 = 1,052.10 : x
  2. Step 2: Convert to fraction form
    1,315.90/1,817.82 = 1,052.10/x
  3. Step 3: Cross multiply
    1,315.90x = 1,817.82 × 1,052.10
  4. Step 4: Simplify right side
    1,315.90x = 1,912,520.35
  5. Step 5: Solve for x
    x = 1,912,520.35/1,315.90
  6. Step 6: Final answer
    x = 1,453.39

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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.