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Finding the Fourth Proportional to 2,571.90, 3,549.06 and 1,523.76

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Solution

The fourth proportional to 2,571.90, 3,549.06 and 1,523.76 is: 2,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.90 : 3,549.06 = 1,523.76 : x
  2. Step 2: Convert to fraction form
    2,571.90/3,549.06 = 1,523.76/x
  3. Step 3: Cross multiply
    2,571.90x = 3,549.06 × 1,523.76
  4. Step 4: Simplify right side
    2,571.90x = 5,407,915.67
  5. Step 5: Solve for x
    x = 5,407,915.67/2,571.90
  6. Step 6: Final answer
    x = 2,102.69

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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.