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Finding the Fourth Proportional to 2,756.81, 4,130.80 and 2,477.05

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Solution

The fourth proportional to 2,756.81, 4,130.80 and 2,477.05 is: 3,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.81 : 4,130.80 = 2,477.05 : x
  2. Step 2: Convert to fraction form
    2,756.81/4,130.80 = 2,477.05/x
  3. Step 3: Cross multiply
    2,756.81x = 4,130.80 × 2,477.05
  4. Step 4: Simplify right side
    2,756.81x = 10,232,191.95
  5. Step 5: Solve for x
    x = 10,232,191.95/2,756.81
  6. Step 6: Final answer
    x = 3,711.61

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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.