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Finding the Fourth Proportional to 2,646.80, 3,970.92 and 1,548.80

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Solution

The fourth proportional to 2,646.80, 3,970.92 and 1,548.80 is: 2,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.80 : 3,970.92 = 1,548.80 : x
  2. Step 2: Convert to fraction form
    2,646.80/3,970.92 = 1,548.80/x
  3. Step 3: Cross multiply
    2,646.80x = 3,970.92 × 1,548.80
  4. Step 4: Simplify right side
    2,646.80x = 6,150,160.90
  5. Step 5: Solve for x
    x = 6,150,160.90/2,646.80
  6. Step 6: Final answer
    x = 2,323.62

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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.