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Finding the Fourth Proportional to 1,285.34, 1,929.08 and 1,204.34

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Solution

The fourth proportional to 1,285.34, 1,929.08 and 1,204.34 is: 1,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.34 : 1,929.08 = 1,204.34 : x
  2. Step 2: Convert to fraction form
    1,285.34/1,929.08 = 1,204.34/x
  3. Step 3: Cross multiply
    1,285.34x = 1,929.08 × 1,204.34
  4. Step 4: Simplify right side
    1,285.34x = 2,323,261.57
  5. Step 5: Solve for x
    x = 2,323,261.57/1,285.34
  6. Step 6: Final answer
    x = 1,807.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.