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Finding the Fourth Proportional to 1,654.94, 2,478.76 and 1,104.54

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Solution

The fourth proportional to 1,654.94, 2,478.76 and 1,104.54 is: 1,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.94 : 2,478.76 = 1,104.54 : x
  2. Step 2: Convert to fraction form
    1,654.94/2,478.76 = 1,104.54/x
  3. Step 3: Cross multiply
    1,654.94x = 2,478.76 × 1,104.54
  4. Step 4: Simplify right side
    1,654.94x = 2,737,886.81
  5. Step 5: Solve for x
    x = 2,737,886.81/1,654.94
  6. Step 6: Final answer
    x = 1,654.38

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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.