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Finding the Fourth Proportional to 2,697.15, 3,722.84 and 1,752.96

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Solution

The fourth proportional to 2,697.15, 3,722.84 and 1,752.96 is: 2,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.15 : 3,722.84 = 1,752.96 : x
  2. Step 2: Convert to fraction form
    2,697.15/3,722.84 = 1,752.96/x
  3. Step 3: Cross multiply
    2,697.15x = 3,722.84 × 1,752.96
  4. Step 4: Simplify right side
    2,697.15x = 6,525,989.61
  5. Step 5: Solve for x
    x = 6,525,989.61/2,697.15
  6. Step 6: Final answer
    x = 2,419.59

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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.