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Finding the Fourth Proportional to 1,848.64, 2,770.92 and 923.95

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Solution

The fourth proportional to 1,848.64, 2,770.92 and 923.95 is: 1,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.64 : 2,770.92 = 923.95 : x
  2. Step 2: Convert to fraction form
    1,848.64/2,770.92 = 923.95/x
  3. Step 3: Cross multiply
    1,848.64x = 2,770.92 × 923.95
  4. Step 4: Simplify right side
    1,848.64x = 2,560,191.53
  5. Step 5: Solve for x
    x = 2,560,191.53/1,848.64
  6. Step 6: Final answer
    x = 1,384.91

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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.