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Finding the Fourth Proportional to 1,883.80, 2,597.09 and 1,588.56

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Solution

The fourth proportional to 1,883.80, 2,597.09 and 1,588.56 is: 2,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.80 : 2,597.09 = 1,588.56 : x
  2. Step 2: Convert to fraction form
    1,883.80/2,597.09 = 1,588.56/x
  3. Step 3: Cross multiply
    1,883.80x = 2,597.09 × 1,588.56
  4. Step 4: Simplify right side
    1,883.80x = 4,125,624.28
  5. Step 5: Solve for x
    x = 4,125,624.28/1,883.80
  6. Step 6: Final answer
    x = 2,190.05

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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.