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Finding the Fourth Proportional to 2,803.78, 3,869.16 and 1,756.42

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Solution

The fourth proportional to 2,803.78, 3,869.16 and 1,756.42 is: 2,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.78 : 3,869.16 = 1,756.42 : x
  2. Step 2: Convert to fraction form
    2,803.78/3,869.16 = 1,756.42/x
  3. Step 3: Cross multiply
    2,803.78x = 3,869.16 × 1,756.42
  4. Step 4: Simplify right side
    2,803.78x = 6,795,870.01
  5. Step 5: Solve for x
    x = 6,795,870.01/2,803.78
  6. Step 6: Final answer
    x = 2,423.82

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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.