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Finding the Fourth Proportional to 2,737.02, 3,773.52 and 2,289

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Solution

The fourth proportional to 2,737.02, 3,773.52 and 2,289 is: 3,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.02 : 3,773.52 = 2,289 : x
  2. Step 2: Convert to fraction form
    2,737.02/3,773.52 = 2,289/x
  3. Step 3: Cross multiply
    2,737.02x = 3,773.52 × 2,289
  4. Step 4: Simplify right side
    2,737.02x = 8,637,587.28
  5. Step 5: Solve for x
    x = 8,637,587.28/2,737.02
  6. Step 6: Final answer
    x = 3,155.84

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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.