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Finding the Fourth Proportional to 2,392.56, 3,592.80 and 1,807.56

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Solution

The fourth proportional to 2,392.56, 3,592.80 and 1,807.56 is: 2,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.56 : 3,592.80 = 1,807.56 : x
  2. Step 2: Convert to fraction form
    2,392.56/3,592.80 = 1,807.56/x
  3. Step 3: Cross multiply
    2,392.56x = 3,592.80 × 1,807.56
  4. Step 4: Simplify right side
    2,392.56x = 6,494,201.57
  5. Step 5: Solve for x
    x = 6,494,201.57/2,392.56
  6. Step 6: Final answer
    x = 2,714.33

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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.