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Finding the Fourth Proportional to 2,803.84, 3,869.04 and 2,096.16

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Solution

The fourth proportional to 2,803.84, 3,869.04 and 2,096.16 is: 2,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.84 : 3,869.04 = 2,096.16 : x
  2. Step 2: Convert to fraction form
    2,803.84/3,869.04 = 2,096.16/x
  3. Step 3: Cross multiply
    2,803.84x = 3,869.04 × 2,096.16
  4. Step 4: Simplify right side
    2,803.84x = 8,110,126.89
  5. Step 5: Solve for x
    x = 8,110,126.89/2,803.84
  6. Step 6: Final answer
    x = 2,892.51

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1.5x scale

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.