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Finding the Fourth Proportional to 2,571.77, 3,549.09 and 1,510.30

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Solution

The fourth proportional to 2,571.77, 3,549.09 and 1,510.30 is: 2,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.77 : 3,549.09 = 1,510.30 : x
  2. Step 2: Convert to fraction form
    2,571.77/3,549.09 = 1,510.30/x
  3. Step 3: Cross multiply
    2,571.77x = 3,549.09 × 1,510.30
  4. Step 4: Simplify right side
    2,571.77x = 5,360,190.63
  5. Step 5: Solve for x
    x = 5,360,190.63/2,571.77
  6. Step 6: Final answer
    x = 2,084.24

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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.