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Finding the Fourth Proportional to 1,732.86, 2,600.30 and 1,075.14

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Solution

The fourth proportional to 1,732.86, 2,600.30 and 1,075.14 is: 1,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.86 : 2,600.30 = 1,075.14 : x
  2. Step 2: Convert to fraction form
    1,732.86/2,600.30 = 1,075.14/x
  3. Step 3: Cross multiply
    1,732.86x = 2,600.30 × 1,075.14
  4. Step 4: Simplify right side
    1,732.86x = 2,795,689.23
  5. Step 5: Solve for x
    x = 2,795,689.23/1,732.86
  6. Step 6: Final answer
    x = 1,613.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.