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Finding the Fourth Proportional to 1,675.62, 2,510.87 and 701.19

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Solution

The fourth proportional to 1,675.62, 2,510.87 and 701.19 is: 1,050.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.62 : 2,510.87 = 701.19 : x
  2. Step 2: Convert to fraction form
    1,675.62/2,510.87 = 701.19/x
  3. Step 3: Cross multiply
    1,675.62x = 2,510.87 × 701.19
  4. Step 4: Simplify right side
    1,675.62x = 1,760,593.43
  5. Step 5: Solve for x
    x = 1,760,593.43/1,675.62
  6. Step 6: Final answer
    x = 1,050.71

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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.