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Finding the Fourth Proportional to 1,331.84, 1,994.69 and 1,285.71

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Solution

The fourth proportional to 1,331.84, 1,994.69 and 1,285.71 is: 1,925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.84 : 1,994.69 = 1,285.71 : x
  2. Step 2: Convert to fraction form
    1,331.84/1,994.69 = 1,285.71/x
  3. Step 3: Cross multiply
    1,331.84x = 1,994.69 × 1,285.71
  4. Step 4: Simplify right side
    1,331.84x = 2,564,586.45
  5. Step 5: Solve for x
    x = 2,564,586.45/1,331.84
  6. Step 6: Final answer
    x = 1,925.59

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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.