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Finding the Fourth Proportional to 2,871.32, 4,300.08 and 1,635

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Solution

The fourth proportional to 2,871.32, 4,300.08 and 1,635 is: 2,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.32 : 4,300.08 = 1,635 : x
  2. Step 2: Convert to fraction form
    2,871.32/4,300.08 = 1,635/x
  3. Step 3: Cross multiply
    2,871.32x = 4,300.08 × 1,635
  4. Step 4: Simplify right side
    2,871.32x = 7,030,630.80
  5. Step 5: Solve for x
    x = 7,030,630.80/2,871.32
  6. Step 6: Final answer
    x = 2,448.57

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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.