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Finding the Fourth Proportional to 1,588.71, 2,192.54 and 1,195.05

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Solution

The fourth proportional to 1,588.71, 2,192.54 and 1,195.05 is: 1,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.71 : 2,192.54 = 1,195.05 : x
  2. Step 2: Convert to fraction form
    1,588.71/2,192.54 = 1,195.05/x
  3. Step 3: Cross multiply
    1,588.71x = 2,192.54 × 1,195.05
  4. Step 4: Simplify right side
    1,588.71x = 2,620,197.17
  5. Step 5: Solve for x
    x = 2,620,197.17/1,588.71
  6. Step 6: Final answer
    x = 1,649.26

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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.