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Finding the Fourth Proportional to 2,588.79, 3,900.48 and 2,342.31

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Solution

The fourth proportional to 2,588.79, 3,900.48 and 2,342.31 is: 3,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.79 : 3,900.48 = 2,342.31 : x
  2. Step 2: Convert to fraction form
    2,588.79/3,900.48 = 2,342.31/x
  3. Step 3: Cross multiply
    2,588.79x = 3,900.48 × 2,342.31
  4. Step 4: Simplify right side
    2,588.79x = 9,136,133.31
  5. Step 5: Solve for x
    x = 9,136,133.31/2,588.79
  6. Step 6: Final answer
    x = 3,529.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.