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Finding the Fourth Proportional to 2,103.84, 3,154.50 and 716.94

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Solution

The fourth proportional to 2,103.84, 3,154.50 and 716.94 is: 1,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.84 : 3,154.50 = 716.94 : x
  2. Step 2: Convert to fraction form
    2,103.84/3,154.50 = 716.94/x
  3. Step 3: Cross multiply
    2,103.84x = 3,154.50 × 716.94
  4. Step 4: Simplify right side
    2,103.84x = 2,261,587.23
  5. Step 5: Solve for x
    x = 2,261,587.23/2,103.84
  6. Step 6: Final answer
    x = 1,074.98

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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.