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Finding the Fourth Proportional to 2,810.68, 3,877.81 and 1,816.55

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Solution

The fourth proportional to 2,810.68, 3,877.81 and 1,816.55 is: 2,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.68 : 3,877.81 = 1,816.55 : x
  2. Step 2: Convert to fraction form
    2,810.68/3,877.81 = 1,816.55/x
  3. Step 3: Cross multiply
    2,810.68x = 3,877.81 × 1,816.55
  4. Step 4: Simplify right side
    2,810.68x = 7,044,235.76
  5. Step 5: Solve for x
    x = 7,044,235.76/2,810.68
  6. Step 6: Final answer
    x = 2,506.24

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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.