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Finding the Fourth Proportional to 2,388.96, 3,576.96 and 2,282.40

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Solution

The fourth proportional to 2,388.96, 3,576.96 and 2,282.40 is: 3,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.96 : 3,576.96 = 2,282.40 : x
  2. Step 2: Convert to fraction form
    2,388.96/3,576.96 = 2,282.40/x
  3. Step 3: Cross multiply
    2,388.96x = 3,576.96 × 2,282.40
  4. Step 4: Simplify right side
    2,388.96x = 8,164,053.50
  5. Step 5: Solve for x
    x = 8,164,053.50/2,388.96
  6. Step 6: Final answer
    x = 3,417.41

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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.