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Finding the Fourth Proportional to 1,884.84, 2,600.90 and 1,492.84

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Solution

The fourth proportional to 1,884.84, 2,600.90 and 1,492.84 is: 2,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.84 : 2,600.90 = 1,492.84 : x
  2. Step 2: Convert to fraction form
    1,884.84/2,600.90 = 1,492.84/x
  3. Step 3: Cross multiply
    1,884.84x = 2,600.90 × 1,492.84
  4. Step 4: Simplify right side
    1,884.84x = 3,882,727.56
  5. Step 5: Solve for x
    x = 3,882,727.56/1,884.84
  6. Step 6: Final answer
    x = 2,059.98

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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.