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Finding the Fourth Proportional to 1,588.98, 2,191.14 and 1,065.72

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Solution

The fourth proportional to 1,588.98, 2,191.14 and 1,065.72 is: 1,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.98 : 2,191.14 = 1,065.72 : x
  2. Step 2: Convert to fraction form
    1,588.98/2,191.14 = 1,065.72/x
  3. Step 3: Cross multiply
    1,588.98x = 2,191.14 × 1,065.72
  4. Step 4: Simplify right side
    1,588.98x = 2,335,141.72
  5. Step 5: Solve for x
    x = 2,335,141.72/1,588.98
  6. Step 6: Final answer
    x = 1,469.59

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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.