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Finding the Fourth Proportional to 2,807.70, 3,874.65 and 1,548.80

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Solution

The fourth proportional to 2,807.70, 3,874.65 and 1,548.80 is: 2,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.70 : 3,874.65 = 1,548.80 : x
  2. Step 2: Convert to fraction form
    2,807.70/3,874.65 = 1,548.80/x
  3. Step 3: Cross multiply
    2,807.70x = 3,874.65 × 1,548.80
  4. Step 4: Simplify right side
    2,807.70x = 6,001,057.92
  5. Step 5: Solve for x
    x = 6,001,057.92/2,807.70
  6. Step 6: Final answer
    x = 2,137.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.