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Finding the Fourth Proportional to 2,510.00, 3,762.95 and 949.11

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Solution

The fourth proportional to 2,510.00, 3,762.95 and 949.11 is: 1,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.00 : 3,762.95 = 949.11 : x
  2. Step 2: Convert to fraction form
    2,510.00/3,762.95 = 949.11/x
  3. Step 3: Cross multiply
    2,510.00x = 3,762.95 × 949.11
  4. Step 4: Simplify right side
    2,510.00x = 3,571,448.73
  5. Step 5: Solve for x
    x = 3,571,448.73/2,510.00
  6. Step 6: Final answer
    x = 1,422.89

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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.