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Finding the Fourth Proportional to 2,052.54, 2,830.90 and 1,816.74

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Solution

The fourth proportional to 2,052.54, 2,830.90 and 1,816.74 is: 2,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.54 : 2,830.90 = 1,816.74 : x
  2. Step 2: Convert to fraction form
    2,052.54/2,830.90 = 1,816.74/x
  3. Step 3: Cross multiply
    2,052.54x = 2,830.90 × 1,816.74
  4. Step 4: Simplify right side
    2,052.54x = 5,143,009.27
  5. Step 5: Solve for x
    x = 5,143,009.27/2,052.54
  6. Step 6: Final answer
    x = 2,505.68

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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.