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Finding the Fourth Proportional to 1,588.82, 2,202.80 and 1,505.79

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Solution

The fourth proportional to 1,588.82, 2,202.80 and 1,505.79 is: 2,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.82 : 2,202.80 = 1,505.79 : x
  2. Step 2: Convert to fraction form
    1,588.82/2,202.80 = 1,505.79/x
  3. Step 3: Cross multiply
    1,588.82x = 2,202.80 × 1,505.79
  4. Step 4: Simplify right side
    1,588.82x = 3,316,946.68
  5. Step 5: Solve for x
    x = 3,316,946.68/1,588.82
  6. Step 6: Final answer
    x = 2,087.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.