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Finding the Fourth Proportional to 2,893.50, 4,340.25 and 841.50

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Solution

The fourth proportional to 2,893.50, 4,340.25 and 841.50 is: 1,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.50 : 4,340.25 = 841.50 : x
  2. Step 2: Convert to fraction form
    2,893.50/4,340.25 = 841.50/x
  3. Step 3: Cross multiply
    2,893.50x = 4,340.25 × 841.50
  4. Step 4: Simplify right side
    2,893.50x = 3,652,320.38
  5. Step 5: Solve for x
    x = 3,652,320.38/2,893.50
  6. Step 6: Final answer
    x = 1,262.25

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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.