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Finding the Fourth Proportional to 1,493.84, 2,056.92 and 1,489.52

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Solution

The fourth proportional to 1,493.84, 2,056.92 and 1,489.52 is: 2,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.84 : 2,056.92 = 1,489.52 : x
  2. Step 2: Convert to fraction form
    1,493.84/2,056.92 = 1,489.52/x
  3. Step 3: Cross multiply
    1,493.84x = 2,056.92 × 1,489.52
  4. Step 4: Simplify right side
    1,493.84x = 3,063,823.48
  5. Step 5: Solve for x
    x = 3,063,823.48/1,493.84
  6. Step 6: Final answer
    x = 2,050.97

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Why These Related Problems?

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