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Finding the Fourth Proportional to 2,997.54, 4,492.08 and 2,256.66

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Solution

The fourth proportional to 2,997.54, 4,492.08 and 2,256.66 is: 3,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.54 : 4,492.08 = 2,256.66 : x
  2. Step 2: Convert to fraction form
    2,997.54/4,492.08 = 2,256.66/x
  3. Step 3: Cross multiply
    2,997.54x = 4,492.08 × 2,256.66
  4. Step 4: Simplify right side
    2,997.54x = 10,137,097.25
  5. Step 5: Solve for x
    x = 10,137,097.25/2,997.54
  6. Step 6: Final answer
    x = 3,381.81

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1.5x scale

Why These Related Problems?

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