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Finding the Fourth Proportional to 2,588.19, 3,523.92 and 2,580

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Solution

The fourth proportional to 2,588.19, 3,523.92 and 2,580 is: 3,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.19 : 3,523.92 = 2,580 : x
  2. Step 2: Convert to fraction form
    2,588.19/3,523.92 = 2,580/x
  3. Step 3: Cross multiply
    2,588.19x = 3,523.92 × 2,580
  4. Step 4: Simplify right side
    2,588.19x = 9,091,713.60
  5. Step 5: Solve for x
    x = 9,091,713.60/2,588.19
  6. Step 6: Final answer
    x = 3,512.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.