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Finding the Fourth Proportional to 1,594.47, 2,199.75 and 1,175.82

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Solution

The fourth proportional to 1,594.47, 2,199.75 and 1,175.82 is: 1,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.47 : 2,199.75 = 1,175.82 : x
  2. Step 2: Convert to fraction form
    1,594.47/2,199.75 = 1,175.82/x
  3. Step 3: Cross multiply
    1,594.47x = 2,199.75 × 1,175.82
  4. Step 4: Simplify right side
    1,594.47x = 2,586,499.05
  5. Step 5: Solve for x
    x = 2,586,499.05/1,594.47
  6. Step 6: Final answer
    x = 1,622.17

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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.