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Finding the Fourth Proportional to 2,762.30, 3,810.77 and 1,816.88

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Solution

The fourth proportional to 2,762.30, 3,810.77 and 1,816.88 is: 2,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.30 : 3,810.77 = 1,816.88 : x
  2. Step 2: Convert to fraction form
    2,762.30/3,810.77 = 1,816.88/x
  3. Step 3: Cross multiply
    2,762.30x = 3,810.77 × 1,816.88
  4. Step 4: Simplify right side
    2,762.30x = 6,923,717.02
  5. Step 5: Solve for x
    x = 6,923,717.02/2,762.30
  6. Step 6: Final answer
    x = 2,506.50

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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.