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Finding the Fourth Proportional to 2,762.77, 3,812.02 and 1,567.64

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Solution

The fourth proportional to 2,762.77, 3,812.02 and 1,567.64 is: 2,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.77 : 3,812.02 = 1,567.64 : x
  2. Step 2: Convert to fraction form
    2,762.77/3,812.02 = 1,567.64/x
  3. Step 3: Cross multiply
    2,762.77x = 3,812.02 × 1,567.64
  4. Step 4: Simplify right side
    2,762.77x = 5,975,875.03
  5. Step 5: Solve for x
    x = 5,975,875.03/2,762.77
  6. Step 6: Final answer
    x = 2,163.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.