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Finding the Fourth Proportional to 3,102.84, 4,646.70 and 2,637.90

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Solution

The fourth proportional to 3,102.84, 4,646.70 and 2,637.90 is: 3,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.84 : 4,646.70 = 2,637.90 : x
  2. Step 2: Convert to fraction form
    3,102.84/4,646.70 = 2,637.90/x
  3. Step 3: Cross multiply
    3,102.84x = 4,646.70 × 2,637.90
  4. Step 4: Simplify right side
    3,102.84x = 12,257,529.93
  5. Step 5: Solve for x
    x = 12,257,529.93/3,102.84
  6. Step 6: Final answer
    x = 3,950.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.