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Finding the Fourth Proportional to 2,684.66, 3,697.16 and 2,416.82

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Solution

The fourth proportional to 2,684.66, 3,697.16 and 2,416.82 is: 3,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.66 : 3,697.16 = 2,416.82 : x
  2. Step 2: Convert to fraction form
    2,684.66/3,697.16 = 2,416.82/x
  3. Step 3: Cross multiply
    2,684.66x = 3,697.16 × 2,416.82
  4. Step 4: Simplify right side
    2,684.66x = 8,935,339.66
  5. Step 5: Solve for x
    x = 8,935,339.66/2,684.66
  6. Step 6: Final answer
    x = 3,328.30

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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.