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Finding the Fourth Proportional to 1,732.75, 2,586.49 and 1,514.05

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Solution

The fourth proportional to 1,732.75, 2,586.49 and 1,514.05 is: 2,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.75 : 2,586.49 = 1,514.05 : x
  2. Step 2: Convert to fraction form
    1,732.75/2,586.49 = 1,514.05/x
  3. Step 3: Cross multiply
    1,732.75x = 2,586.49 × 1,514.05
  4. Step 4: Simplify right side
    1,732.75x = 3,916,075.18
  5. Step 5: Solve for x
    x = 3,916,075.18/1,732.75
  6. Step 6: Final answer
    x = 2,260.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.