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Finding the Fourth Proportional to 3,253.84, 4,885.32 and 2,017.50

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Solution

The fourth proportional to 3,253.84, 4,885.32 and 2,017.50 is: 3,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.84 : 4,885.32 = 2,017.50 : x
  2. Step 2: Convert to fraction form
    3,253.84/4,885.32 = 2,017.50/x
  3. Step 3: Cross multiply
    3,253.84x = 4,885.32 × 2,017.50
  4. Step 4: Simplify right side
    3,253.84x = 9,856,133.10
  5. Step 5: Solve for x
    x = 9,856,133.10/3,253.84
  6. Step 6: Final answer
    x = 3,029.08

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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.