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Finding the Fourth Proportional to 1,725.83, 2,380.10 and 1,136.24

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Solution

The fourth proportional to 1,725.83, 2,380.10 and 1,136.24 is: 1,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.83 : 2,380.10 = 1,136.24 : x
  2. Step 2: Convert to fraction form
    1,725.83/2,380.10 = 1,136.24/x
  3. Step 3: Cross multiply
    1,725.83x = 2,380.10 × 1,136.24
  4. Step 4: Simplify right side
    1,725.83x = 2,704,364.82
  5. Step 5: Solve for x
    x = 2,704,364.82/1,725.83
  6. Step 6: Final answer
    x = 1,566.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.