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Finding the Fourth Proportional to 2,644.60, 3,647.93 and 1,748.34

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Solution

The fourth proportional to 2,644.60, 3,647.93 and 1,748.34 is: 2,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.60 : 3,647.93 = 1,748.34 : x
  2. Step 2: Convert to fraction form
    2,644.60/3,647.93 = 1,748.34/x
  3. Step 3: Cross multiply
    2,644.60x = 3,647.93 × 1,748.34
  4. Step 4: Simplify right side
    2,644.60x = 6,377,821.94
  5. Step 5: Solve for x
    x = 6,377,821.94/2,644.60
  6. Step 6: Final answer
    x = 2,411.64

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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.