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Finding the Fourth Proportional to 1,435.94, 1,982.20 and 876.61

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Solution

The fourth proportional to 1,435.94, 1,982.20 and 876.61 is: 1,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.94 : 1,982.20 = 876.61 : x
  2. Step 2: Convert to fraction form
    1,435.94/1,982.20 = 876.61/x
  3. Step 3: Cross multiply
    1,435.94x = 1,982.20 × 876.61
  4. Step 4: Simplify right side
    1,435.94x = 1,737,612.48
  5. Step 5: Solve for x
    x = 1,737,612.48/1,435.94
  6. Step 6: Final answer
    x = 1,210.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.