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Finding the Fourth Proportional to 2,685.84, 4,030 and 1,225.44

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Solution

The fourth proportional to 2,685.84, 4,030 and 1,225.44 is: 1,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.84 : 4,030 = 1,225.44 : x
  2. Step 2: Convert to fraction form
    2,685.84/4,030 = 1,225.44/x
  3. Step 3: Cross multiply
    2,685.84x = 4,030 × 1,225.44
  4. Step 4: Simplify right side
    2,685.84x = 4,938,523.20
  5. Step 5: Solve for x
    x = 4,938,523.20/2,685.84
  6. Step 6: Final answer
    x = 1,838.73

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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.