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Finding the Fourth Proportional to 2,644.40, 3,647.54 and 1,698.70

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Solution

The fourth proportional to 2,644.40, 3,647.54 and 1,698.70 is: 2,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.40 : 3,647.54 = 1,698.70 : x
  2. Step 2: Convert to fraction form
    2,644.40/3,647.54 = 1,698.70/x
  3. Step 3: Cross multiply
    2,644.40x = 3,647.54 × 1,698.70
  4. Step 4: Simplify right side
    2,644.40x = 6,196,076.20
  5. Step 5: Solve for x
    x = 6,196,076.20/2,644.40
  6. Step 6: Final answer
    x = 2,343.09

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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.