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Finding the Fourth Proportional to 2,737.84, 3,778.14 and 1,495.84

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Solution

The fourth proportional to 2,737.84, 3,778.14 and 1,495.84 is: 2,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.84 : 3,778.14 = 1,495.84 : x
  2. Step 2: Convert to fraction form
    2,737.84/3,778.14 = 1,495.84/x
  3. Step 3: Cross multiply
    2,737.84x = 3,778.14 × 1,495.84
  4. Step 4: Simplify right side
    2,737.84x = 5,651,492.94
  5. Step 5: Solve for x
    x = 5,651,492.94/2,737.84
  6. Step 6: Final answer
    x = 2,064.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.