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Finding the Fourth Proportional to 2,089.71, 3,134.95 and 1,050.43

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Solution

The fourth proportional to 2,089.71, 3,134.95 and 1,050.43 is: 1,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.71 : 3,134.95 = 1,050.43 : x
  2. Step 2: Convert to fraction form
    2,089.71/3,134.95 = 1,050.43/x
  3. Step 3: Cross multiply
    2,089.71x = 3,134.95 × 1,050.43
  4. Step 4: Simplify right side
    2,089.71x = 3,293,045.53
  5. Step 5: Solve for x
    x = 3,293,045.53/2,089.71
  6. Step 6: Final answer
    x = 1,575.84

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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.