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Finding the Fourth Proportional to 2,455.97, 3,683.92 and 896.30

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Solution

The fourth proportional to 2,455.97, 3,683.92 and 896.30 is: 1,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.97 : 3,683.92 = 896.30 : x
  2. Step 2: Convert to fraction form
    2,455.97/3,683.92 = 896.30/x
  3. Step 3: Cross multiply
    2,455.97x = 3,683.92 × 896.30
  4. Step 4: Simplify right side
    2,455.97x = 3,301,897.50
  5. Step 5: Solve for x
    x = 3,301,897.50/2,455.97
  6. Step 6: Final answer
    x = 1,344.44

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1.5x scale

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.