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Finding the Fourth Proportional to 2,756.94, 4,130.99 and 2,477.18

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Solution

The fourth proportional to 2,756.94, 4,130.99 and 2,477.18 is: 3,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.94 : 4,130.99 = 2,477.18 : x
  2. Step 2: Convert to fraction form
    2,756.94/4,130.99 = 2,477.18/x
  3. Step 3: Cross multiply
    2,756.94x = 4,130.99 × 2,477.18
  4. Step 4: Simplify right side
    2,756.94x = 10,233,172.77
  5. Step 5: Solve for x
    x = 10,233,172.77/2,756.94
  6. Step 6: Final answer
    x = 3,711.79

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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.