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Finding the Fourth Proportional to 2,676.64, 3,693.90 and 1,497.64

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Solution

The fourth proportional to 2,676.64, 3,693.90 and 1,497.64 is: 2,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.64 : 3,693.90 = 1,497.64 : x
  2. Step 2: Convert to fraction form
    2,676.64/3,693.90 = 1,497.64/x
  3. Step 3: Cross multiply
    2,676.64x = 3,693.90 × 1,497.64
  4. Step 4: Simplify right side
    2,676.64x = 5,532,132.40
  5. Step 5: Solve for x
    x = 5,532,132.40/2,676.64
  6. Step 6: Final answer
    x = 2,066.82

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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.