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Finding the Fourth Proportional to 2,231.37, 3,347.40 and 588.05

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Solution

The fourth proportional to 2,231.37, 3,347.40 and 588.05 is: 882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.37 : 3,347.40 = 588.05 : x
  2. Step 2: Convert to fraction form
    2,231.37/3,347.40 = 588.05/x
  3. Step 3: Cross multiply
    2,231.37x = 3,347.40 × 588.05
  4. Step 4: Simplify right side
    2,231.37x = 1,968,430.23
  5. Step 5: Solve for x
    x = 1,968,430.23/2,231.37
  6. Step 6: Final answer
    x = 882.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.