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Finding the Fourth Proportional to 2,522.84, 3,785.70 and 1,368.68

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Solution

The fourth proportional to 2,522.84, 3,785.70 and 1,368.68 is: 2,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.84 : 3,785.70 = 1,368.68 : x
  2. Step 2: Convert to fraction form
    2,522.84/3,785.70 = 1,368.68/x
  3. Step 3: Cross multiply
    2,522.84x = 3,785.70 × 1,368.68
  4. Step 4: Simplify right side
    2,522.84x = 5,181,411.88
  5. Step 5: Solve for x
    x = 5,181,411.88/2,522.84
  6. Step 6: Final answer
    x = 2,053.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.