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Finding the Fourth Proportional to 2,497.02, 3,744.48 and 852.84

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Solution

The fourth proportional to 2,497.02, 3,744.48 and 852.84 is: 1,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.02 : 3,744.48 = 852.84 : x
  2. Step 2: Convert to fraction form
    2,497.02/3,744.48 = 852.84/x
  3. Step 3: Cross multiply
    2,497.02x = 3,744.48 × 852.84
  4. Step 4: Simplify right side
    2,497.02x = 3,193,442.32
  5. Step 5: Solve for x
    x = 3,193,442.32/2,497.02
  6. Step 6: Final answer
    x = 1,278.90

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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.