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Finding the Fourth Proportional to 1,828.66, 2,522.67 and 1,757.93

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Solution

The fourth proportional to 1,828.66, 2,522.67 and 1,757.93 is: 2,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.66 : 2,522.67 = 1,757.93 : x
  2. Step 2: Convert to fraction form
    1,828.66/2,522.67 = 1,757.93/x
  3. Step 3: Cross multiply
    1,828.66x = 2,522.67 × 1,757.93
  4. Step 4: Simplify right side
    1,828.66x = 4,434,677.27
  5. Step 5: Solve for x
    x = 4,434,677.27/1,828.66
  6. Step 6: Final answer
    x = 2,425.10

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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.