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Finding the Fourth Proportional to 2,184.84, 3,289.58 and 1,926.51

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Solution

The fourth proportional to 2,184.84, 3,289.58 and 1,926.51 is: 2,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.84 : 3,289.58 = 1,926.51 : x
  2. Step 2: Convert to fraction form
    2,184.84/3,289.58 = 1,926.51/x
  3. Step 3: Cross multiply
    2,184.84x = 3,289.58 × 1,926.51
  4. Step 4: Simplify right side
    2,184.84x = 6,337,408.77
  5. Step 5: Solve for x
    x = 6,337,408.77/2,184.84
  6. Step 6: Final answer
    x = 2,900.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.