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Finding the Fourth Proportional to 1,772.31, 2,654.41 and 848.52

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Solution

The fourth proportional to 1,772.31, 2,654.41 and 848.52 is: 1,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.31 : 2,654.41 = 848.52 : x
  2. Step 2: Convert to fraction form
    1,772.31/2,654.41 = 848.52/x
  3. Step 3: Cross multiply
    1,772.31x = 2,654.41 × 848.52
  4. Step 4: Simplify right side
    1,772.31x = 2,252,313.35
  5. Step 5: Solve for x
    x = 2,252,313.35/1,772.31
  6. Step 6: Final answer
    x = 1,270.84

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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.