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Finding the Fourth Proportional to 3,421.84, 4,722.14 and 1,849.94

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Solution

The fourth proportional to 3,421.84, 4,722.14 and 1,849.94 is: 2,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.84 : 4,722.14 = 1,849.94 : x
  2. Step 2: Convert to fraction form
    3,421.84/4,722.14 = 1,849.94/x
  3. Step 3: Cross multiply
    3,421.84x = 4,722.14 × 1,849.94
  4. Step 4: Simplify right side
    3,421.84x = 8,735,675.67
  5. Step 5: Solve for x
    x = 8,735,675.67/3,421.84
  6. Step 6: Final answer
    x = 2,552.92

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1.5x scale

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.