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Finding the Fourth Proportional to 2,530.56, 3,492 and 2,007.84

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Solution

The fourth proportional to 2,530.56, 3,492 and 2,007.84 is: 2,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.56 : 3,492 = 2,007.84 : x
  2. Step 2: Convert to fraction form
    2,530.56/3,492 = 2,007.84/x
  3. Step 3: Cross multiply
    2,530.56x = 3,492 × 2,007.84
  4. Step 4: Simplify right side
    2,530.56x = 7,011,377.28
  5. Step 5: Solve for x
    x = 7,011,377.28/2,530.56
  6. Step 6: Final answer
    x = 2,770.68

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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.